How to Find GCF of 5352/508, 3492/632?

GCF of 5352/508, 3492/632

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 5352/508, 3492/632 i.e 12/80264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5352/508, 3492/632.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5352/508,3492/632?

Given fractions are 5352/508,3492/632

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 5352/508,3492/632, numerators are 5352,3492

Denominators are 508,632

The GCF of 5352,3492 is 12 .

LCM of 508,632 is 80264.

The greatest common factor of 5352/508,3492/632 = [GCF of 5352,3492]/[LCM of 508,632]= 12/80264

Therefore, the GCF of 5352/508,3492/632 is 12/80264.

Greatest Common Factor of 5352,3492

To find the highest common factor of 5352,3492, we have to find the factors of both numbers and list the highest common factor.

The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352

The factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492

The HCF of 5352,3492 is 12.

Lets's calculate GCF of 5352,3492

Greatest Common Factor (GCF) of 5352,3492 By Common Division

2	5352, 3492
2	2676, 1746
3	1338, 873
	446, 291

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5352,3492 By Matching Biggest Common Factor Method

Now, list down the factors of 5352

1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352

Now, list down the factors of 3492

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Greatest Common Factor

We found the factors 5352,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,3492 is 12.

Lets's calculate LCM of 508,632

Lowest Common Multiple of 508,632 using Common Division

2	508, 632
2	254, 316
	127, 158

∴ So the LCM of the given numbers is 2 x 2 x 127 x 158 = 80264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/80264

Therefore, the GCF of Fractions 5352/508,3492/632 is 12/80264

Least Common Multiple of 508,632 with GCF Formula

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

We need to calculate greatest common factor of 508,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,632) = 4

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

GCF(508,632) x common factors =4 x 1 = 4

LCM(508,632) = ( 508 × 632 ) / 4

LCM(508,632) = 321056 / 4

LCM(508,632) = 80264

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FAQs on GCF of Fractions of 5352/508, 3492/632

1. What is the HCF of 5352,3492?

The HCF of 5352,3492 is 12

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 5352/508, 3492/632?

Answer: GCF of Numerators as per given numbers 5352/508, 3492/632 is

GCF of Numerators i.e. for 5352,3492 is 12

LCM of denominators i.e. for 508,632 is 80264.

Thus, GCF of Fractions is 12/80264.Finally, GCF of Fractions for 5352/508, 3492/632 is 12/80264.