Greatest Common Factor of 9762/52, 6314/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9762/52, 6314/314

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 9762/52,6314/314

Given fractions are 9762/52,6314/314

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9762,6314

Greatest Common Factor of Numerators i.e. GCF of 9762,6314 is 2 .

LCM of Denominators means LCM of 52,314 as per the given fractions.

LCM of 52,314 is 8164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9762,6314

GCF of Fractions 9762/52,6314/314 is 2/8164

2 9762, 6314
4881, 3157

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9762,6314 By Matching Biggest Common Factor Method

Greatest Common Factor of 9762,6314 By Matching Biggest Common Factor Method

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1,2,3,6,1627,3254,4881,9762

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

Greatest Common Factor

We found the factors 9762,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 9762,6314 is 2.

Lets's calculate LCM of 52,314

2 52, 314
26, 157

∴ So the LCM of the given numbers is 2 x 26 x 157 = 8164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8164

Therefore, the GCF of Fractions 9762/52,6314/314 is 2/8164

Least Common Multiple of 52,314 with GCF Formula

Least Common Multiple of 52,314 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 52,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,314) = 2

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

GCF(52,314) x common factors =2 x 1 = 2

LCM(52,314) = ( 52 × 314 ) / 2

LCM(52,314) = 16328 / 2

LCM(52,314) = 8164


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9762/52, 6314/314

1. 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.

2. What is the GCF of Fractions for 9762/52, 6314/314?

Answer: GCF of Numerators as per given numbers 9762/52, 6314/314 is

GCF of Numerators i.e. for 9762,6314 is 2

LCM of denominators i.e. for 52,314 is 8164.

Thus, GCF of Fractions is 2/8164.Finally, GCF of Fractions for 9762/52, 6314/314 is 2/8164.