Greatest Common Factor of 156/718, 3692/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/718, 3692/481

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 156/718,3692/481

Given fractions are 156/718,3692/481

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 156,3692

Greatest Common Factor of Numerators i.e. GCF of 156,3692 is 52 .

LCM of Denominators means LCM of 718,481 as per the given fractions.

LCM of 718,481 is 345358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,3692

GCF of Fractions 156/718,3692/481 is 52/345358

2 156, 3692
2 78, 1846
13 39, 923
3, 71

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 156,3692 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,3692 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 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1,2,4,13,26,52,71,142,284,923,1846,3692

Greatest Common Factor

We found the factors 156,3692 . The biggest common factor number is the GCF number.
So the greatest common factor 156,3692 is 52.

Lets's calculate LCM of 718,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 345358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/345358

Therefore, the GCF of Fractions 156/718,3692/481 is 52/345358

Least Common Multiple of 718,481 with GCF Formula

Least Common Multiple of 718,481 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 718,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,481) = 1

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

GCF(718,481) x common factors =1 x 1 = 1

LCM(718,481) = ( 718 × 481 ) / 1

LCM(718,481) = 345358 / 1

LCM(718,481) = 345358


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 156/718, 3692/481

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 156/718, 3692/481?

Answer: GCF of Numerators as per given numbers 156/718, 3692/481 is

GCF of Numerators i.e. for 156,3692 is 52

LCM of denominators i.e. for 718,481 is 345358.

Thus, GCF of Fractions is 52/345358.Finally, GCF of Fractions for 156/718, 3692/481 is 52/345358.