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GCF of 6300/464, 5520/1648

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 6300/464, 5520/1648 i.e 60/47792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6300/464, 5520/1648.

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 6300/464,5520/1648?

Given fractions are 6300/464,5520/1648

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 6300/464,5520/1648, numerators are 6300,5520

Denominators are 464,1648

The GCF of 6300,5520 is 60 .

LCM of 464,1648 is 47792.

The greatest common factor of 6300/464,5520/1648 = [GCF of 6300,5520]/[LCM of 464,1648]= 60/47792

Therefore, the GCF of 6300/464,5520/1648 is 60/47792.

Greatest Common Factor of 6300,5520

To find the highest common factor of 6300,5520, we have to find the factors of both numbers and list the highest common factor.

The factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300

The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520

The HCF of 6300,5520 is 60.

Lets's calculate GCF of 6300,5520

Greatest Common Factor (GCF) of 6300,5520 By Common Division

2 6300, 5520
2 3150, 2760
3 1575, 1380
5 525, 460
105, 92

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 6300,5520 By Matching Biggest Common Factor Method

Greatest Common Factor of 6300,5520 By Matching Biggest Common Factor Method

Now, list down the factors of 6300

:

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Now, list down the factors of 5520

:

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Greatest Common Factor

We found the factors 6300,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 6300,5520 is 60.

Lets's calculate LCM of 464,1648

Lowest Common Multiple of 464,1648 using Common Division

2 464, 1648
2 232, 824
2 116, 412
2 58, 206
29, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 103 = 47792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/47792

Therefore, the GCF of Fractions 6300/464,5520/1648 is 60/47792

Least Common Multiple of 464,1648 with GCF Formula

Least Common Multiple of 464,1648 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 464,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,1648) = 16

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

GCF(464,1648) x common factors =16 x 1 = 16

LCM(464,1648) = ( 464 × 1648 ) / 16

LCM(464,1648) = 764672 / 16

LCM(464,1648) = 47792


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FAQs on GCF of Fractions of 6300/464, 5520/1648

1. What is the HCF of 6300,5520?

The HCF of 6300,5520 is 60

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 6300/464, 5520/1648?

Answer: GCF of Numerators as per given numbers 6300/464, 5520/1648 is

GCF of Numerators i.e. for 6300,5520 is 60

LCM of denominators i.e. for 464,1648 is 47792.

Thus, GCF of Fractions is 60/47792.Finally, GCF of Fractions for 6300/464, 5520/1648 is 60/47792.