Greatest Common Factor of 156/764, 4719/7247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/764, 4719/7247

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 156/764,4719/7247

Given fractions are 156/764,4719/7247

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 156,4719

Greatest Common Factor of Numerators i.e. GCF of 156,4719 is 39 .

LCM of Denominators means LCM of 764,7247 as per the given fractions.

LCM of 764,7247 is 5536708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,4719

GCF of Fractions 156/764,4719/7247 is 39/5536708

3 156, 4719
13 52, 1573
4, 121

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 156,4719 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,4719 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1,3,11,13,33,39,121,143,363,429,1573,4719

Greatest Common Factor

We found the factors 156,4719 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4719 is 39.

Lets's calculate LCM of 764,7247

Given numbers has no common factors except 1. So, there LCM is their product i.e 5536708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/5536708

Therefore, the GCF of Fractions 156/764,4719/7247 is 39/5536708

Least Common Multiple of 764,7247 with GCF Formula

Least Common Multiple of 764,7247 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 764,7247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,7247) = 1

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

GCF(764,7247) x common factors =1 x 1 = 1

LCM(764,7247) = ( 764 × 7247 ) / 1

LCM(764,7247) = 5536708 / 1

LCM(764,7247) = 5536708


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 156/764, 4719/7247

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 156/764, 4719/7247?

Answer: GCF of Numerators as per given numbers 156/764, 4719/7247 is

GCF of Numerators i.e. for 156,4719 is 39

LCM of denominators i.e. for 764,7247 is 5536708.

Thus, GCF of Fractions is 39/5536708.Finally, GCF of Fractions for 156/764, 4719/7247 is 39/5536708.