Greatest Common Factor of 710/48, 959/59, 492/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/48, 959/59, 492/944

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 710/48,959/59,492/944

Given fractions are 710/48,959/59,492/944

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 710,959,492

Greatest Common Factor of Numerators i.e. GCF of 710,959,492 is 1 .

LCM of Denominators means LCM of 48,59,944 as per the given fractions.

LCM of 48,59,944 is 2832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,959,492

GCF of Fractions 710/48,959/59,492/944 is 1/2832

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

Greatest Common Factor of 710,959,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,959,492 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 710,959,492 . The biggest common factor number is the GCF number.
So the greatest common factor 710,959,492 is 1.

Lets's calculate LCM of 48,59,944

2 48, 59, 944
2 24, 59, 472
2 12, 59, 236
2 6, 59, 118
59 3, 59, 59
3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 3 x 1 x 1 = 2832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2832

Therefore, the GCF of Fractions 710/48,959/59,492/944 is 1/2832

Least Common Multiple of 48,59,944 with GCF Formula

Least Common Multiple of 48,59,944 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 48,59,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,59,944) = 1

common factors(in case of two or more numbers have common factors) = 944

GCF(48,59,944) x common factors =1 x 944 = 944

LCM(48,59,944) = ( 48 × 59 × 944 ) / 944

LCM(48,59,944) = 2673408 / 944

LCM(48,59,944) = 2832


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 710/48, 959/59, 492/944

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 710/48, 959/59, 492/944?

Answer: GCF of Numerators as per given numbers 710/48, 959/59, 492/944 is

GCF of Numerators i.e. for 710,959,492 is 1

LCM of denominators i.e. for 48,59,944 is 2832.

Thus, GCF of Fractions is 1/2832.Finally, GCF of Fractions for 710/48, 959/59, 492/944 is 1/2832.