Greatest Common Factor of 156/790, 142/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/790, 142/417

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 156/790,142/417

Given fractions are 156/790,142/417

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 156,142

Greatest Common Factor of Numerators i.e. GCF of 156,142 is 2 .

LCM of Denominators means LCM of 790,417 as per the given fractions.

LCM of 790,417 is 329430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,142

GCF of Fractions 156/790,142/417 is 2/329430

2 156, 142
78, 71

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

Greatest Common Factor of 156,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,142 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 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 156,142 . The biggest common factor number is the GCF number.
So the greatest common factor 156,142 is 2.

Lets's calculate LCM of 790,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 329430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/329430

Therefore, the GCF of Fractions 156/790,142/417 is 2/329430

Least Common Multiple of 790,417 with GCF Formula

Least Common Multiple of 790,417 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 790,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,417) = 1

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

GCF(790,417) x common factors =1 x 1 = 1

LCM(790,417) = ( 790 × 417 ) / 1

LCM(790,417) = 329430 / 1

LCM(790,417) = 329430


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 156/790, 142/417

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 156/790, 142/417?

Answer: GCF of Numerators as per given numbers 156/790, 142/417 is

GCF of Numerators i.e. for 156,142 is 2

LCM of denominators i.e. for 790,417 is 329430.

Thus, GCF of Fractions is 2/329430.Finally, GCF of Fractions for 156/790, 142/417 is 2/329430.