Greatest Common Factor of 156/14, 463/83, 745/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/14, 463/83, 745/579

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 156/14,463/83,745/579

Given fractions are 156/14,463/83,745/579

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 156,463,745

Greatest Common Factor of Numerators i.e. GCF of 156,463,745 is 1 .

LCM of Denominators means LCM of 14,83,579 as per the given fractions.

LCM of 14,83,579 is 672798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,463,745

GCF of Fractions 156/14,463/83,745/579 is 1/672798

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 156,463,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,463,745 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 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 156,463,745 . The biggest common factor number is the GCF number.
So the greatest common factor 156,463,745 is 1.

Lets's calculate LCM of 14,83,579

Given numbers has no common factors except 1. So, there LCM is their product i.e 672798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672798

Therefore, the GCF of Fractions 156/14,463/83,745/579 is 1/672798

Least Common Multiple of 14,83,579 with GCF Formula

Least Common Multiple of 14,83,579 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 14,83,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,83,579) = 1

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

GCF(14,83,579) x common factors =1 x 1 = 1

LCM(14,83,579) = ( 14 × 83 × 579 ) / 1

LCM(14,83,579) = 672798 / 1

LCM(14,83,579) = 672798


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 156/14, 463/83, 745/579

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 156/14, 463/83, 745/579?

Answer: GCF of Numerators as per given numbers 156/14, 463/83, 745/579 is

GCF of Numerators i.e. for 156,463,745 is 1

LCM of denominators i.e. for 14,83,579 is 672798.

Thus, GCF of Fractions is 1/672798.Finally, GCF of Fractions for 156/14, 463/83, 745/579 is 1/672798.