Greatest Common Factor of 7164/172, 3952/7518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7164/172, 3952/7518

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 7164/172,3952/7518

Given fractions are 7164/172,3952/7518

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 7164,3952

Greatest Common Factor of Numerators i.e. GCF of 7164,3952 is 4 .

LCM of Denominators means LCM of 172,7518 as per the given fractions.

LCM of 172,7518 is 646548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7164,3952

GCF of Fractions 7164/172,3952/7518 is 4/646548

2 7164, 3952
2 3582, 1976
1791, 988

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7164,3952 By Matching Biggest Common Factor Method

Greatest Common Factor of 7164,3952 By Matching Biggest Common Factor Method

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors 7164,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 7164,3952 is 4.

Lets's calculate LCM of 172,7518

2 172, 7518
86, 3759

∴ So the LCM of the given numbers is 2 x 86 x 3759 = 646548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/646548

Therefore, the GCF of Fractions 7164/172,3952/7518 is 4/646548

Least Common Multiple of 172,7518 with GCF Formula

Least Common Multiple of 172,7518 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 172,7518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,7518) = 2

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

GCF(172,7518) x common factors =2 x 1 = 2

LCM(172,7518) = ( 172 × 7518 ) / 2

LCM(172,7518) = 1293096 / 2

LCM(172,7518) = 646548


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 7164/172, 3952/7518

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 7164/172, 3952/7518?

Answer: GCF of Numerators as per given numbers 7164/172, 3952/7518 is

GCF of Numerators i.e. for 7164,3952 is 4

LCM of denominators i.e. for 172,7518 is 646548.

Thus, GCF of Fractions is 4/646548.Finally, GCF of Fractions for 7164/172, 3952/7518 is 4/646548.