Greatest Common Factor of 7524/334, 9771/3776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7524/334, 9771/3776

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 7524/334,9771/3776

Given fractions are 7524/334,9771/3776

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 7524,9771

Greatest Common Factor of Numerators i.e. GCF of 7524,9771 is 3 .

LCM of Denominators means LCM of 334,3776 as per the given fractions.

LCM of 334,3776 is 630592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7524,9771

GCF of Fractions 7524/334,9771/3776 is 3/630592

3 7524, 9771
2508, 3257

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7524,9771 By Matching Biggest Common Factor Method

Greatest Common Factor of 7524,9771 By Matching Biggest Common Factor Method

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Greatest Common Factor

We found the factors 7524,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 7524,9771 is 3.

Lets's calculate LCM of 334,3776

2 334, 3776
167, 1888

∴ So the LCM of the given numbers is 2 x 167 x 1888 = 630592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/630592

Therefore, the GCF of Fractions 7524/334,9771/3776 is 3/630592

Least Common Multiple of 334,3776 with GCF Formula

Least Common Multiple of 334,3776 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 334,3776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,3776) = 2

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

GCF(334,3776) x common factors =2 x 1 = 2

LCM(334,3776) = ( 334 × 3776 ) / 2

LCM(334,3776) = 1261184 / 2

LCM(334,3776) = 630592


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 7524/334, 9771/3776

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 7524/334, 9771/3776?

Answer: GCF of Numerators as per given numbers 7524/334, 9771/3776 is

GCF of Numerators i.e. for 7524,9771 is 3

LCM of denominators i.e. for 334,3776 is 630592.

Thus, GCF of Fractions is 3/630592.Finally, GCF of Fractions for 7524/334, 9771/3776 is 3/630592.