Greatest Common Factor of 7931/207, 9534/7180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7931/207, 9534/7180

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 7931/207,9534/7180

Given fractions are 7931/207,9534/7180

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 7931,9534

Greatest Common Factor of Numerators i.e. GCF of 7931,9534 is 7 .

LCM of Denominators means LCM of 207,7180 as per the given fractions.

LCM of 207,7180 is 1486260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7931,9534

GCF of Fractions 7931/207,9534/7180 is 7/1486260

7 7931, 9534
1133, 1362

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7931,9534 By Matching Biggest Common Factor Method

Greatest Common Factor of 7931,9534 By Matching Biggest Common Factor Method

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1,7,11,77,103,721,1133,7931

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Greatest Common Factor

We found the factors 7931,9534 . The biggest common factor number is the GCF number.
So the greatest common factor 7931,9534 is 7.

Lets's calculate LCM of 207,7180

Given numbers has no common factors except 1. So, there LCM is their product i.e 1486260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1486260

Therefore, the GCF of Fractions 7931/207,9534/7180 is 7/1486260

Least Common Multiple of 207,7180 with GCF Formula

Least Common Multiple of 207,7180 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 207,7180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,7180) = 1

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

GCF(207,7180) x common factors =1 x 1 = 1

LCM(207,7180) = ( 207 × 7180 ) / 1

LCM(207,7180) = 1486260 / 1

LCM(207,7180) = 1486260


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 7931/207, 9534/7180

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 7931/207, 9534/7180?

Answer: GCF of Numerators as per given numbers 7931/207, 9534/7180 is

GCF of Numerators i.e. for 7931,9534 is 7

LCM of denominators i.e. for 207,7180 is 1486260.

Thus, GCF of Fractions is 7/1486260.Finally, GCF of Fractions for 7931/207, 9534/7180 is 7/1486260.