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GCF of 6552/596, 6720/404

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6552/596, 6720/404 i.e 168/60196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6552/596, 6720/404.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6552/596,6720/404?

Given fractions are 6552/596,6720/404

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6552/596,6720/404, numerators are 6552,6720

Denominators are 596,404

The GCF of 6552,6720 is 168 .

LCM of 596,404 is 60196.

The greatest common factor of 6552/596,6720/404 = [GCF of 6552,6720]/[LCM of 596,404]= 168/60196

Therefore, the GCF of 6552/596,6720/404 is 168/60196.

Greatest Common Factor of 6552,6720

To find the highest common factor of 6552,6720, we have to find the factors of both numbers and list the highest common factor.

The factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552

The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720

The HCF of 6552,6720 is 168.

Lets's calculate GCF of 6552,6720

Greatest Common Factor (GCF) of 6552,6720 By Common Division

2 6552, 6720
2 3276, 3360
2 1638, 1680
3 819, 840
7 273, 280
39, 40

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 7 = 168

Greatest Common Factor of 6552,6720 By Matching Biggest Common Factor Method

Greatest Common Factor of 6552,6720 By Matching Biggest Common Factor Method

Now, list down the factors of 6552

:

1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552

Now, list down the factors of 6720

:

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720

Greatest Common Factor

We found the factors 6552,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 6552,6720 is 168.

Lets's calculate LCM of 596,404

Lowest Common Multiple of 596,404 using Common Division

2 596, 404
2 298, 202
149, 101

∴ So the LCM of the given numbers is 2 x 2 x 149 x 101 = 60196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 168/60196

Therefore, the GCF of Fractions 6552/596,6720/404 is 168/60196

Least Common Multiple of 596,404 with GCF Formula

Least Common Multiple of 596,404 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 596,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,404) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(596,404) x common factors =4 x 1 = 4

LCM(596,404) = ( 596 × 404 ) / 4

LCM(596,404) = 240784 / 4

LCM(596,404) = 60196


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FAQs on GCF of Fractions of 6552/596, 6720/404

1. What is the HCF of 6552,6720?

The HCF of 6552,6720 is 168

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6552/596, 6720/404?

Answer: GCF of Numerators as per given numbers 6552/596, 6720/404 is

GCF of Numerators i.e. for 6552,6720 is 168

LCM of denominators i.e. for 596,404 is 60196.

Thus, GCF of Fractions is 168/60196.Finally, GCF of Fractions for 6552/596, 6720/404 is 168/60196.