Greatest Common Factor of 856/31, 120/5709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/31, 120/5709

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 856/31,120/5709

Given fractions are 856/31,120/5709

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 856,120

Greatest Common Factor of Numerators i.e. GCF of 856,120 is 8 .

LCM of Denominators means LCM of 31,5709 as per the given fractions.

LCM of 31,5709 is 176979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,120

GCF of Fractions 856/31,120/5709 is 8/176979

2 856, 120
2 428, 60
2 214, 30
107, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 856,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,120 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 856,120 . The biggest common factor number is the GCF number.
So the greatest common factor 856,120 is 8.

Lets's calculate LCM of 31,5709

Given numbers has no common factors except 1. So, there LCM is their product i.e 176979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/176979

Therefore, the GCF of Fractions 856/31,120/5709 is 8/176979

Least Common Multiple of 31,5709 with GCF Formula

Least Common Multiple of 31,5709 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 31,5709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,5709) = 1

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

GCF(31,5709) x common factors =1 x 1 = 1

LCM(31,5709) = ( 31 × 5709 ) / 1

LCM(31,5709) = 176979 / 1

LCM(31,5709) = 176979


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 856/31, 120/5709

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 856/31, 120/5709?

Answer: GCF of Numerators as per given numbers 856/31, 120/5709 is

GCF of Numerators i.e. for 856,120 is 8

LCM of denominators i.e. for 31,5709 is 176979.

Thus, GCF of Fractions is 8/176979.Finally, GCF of Fractions for 856/31, 120/5709 is 8/176979.