Greatest Common Factor of 710/864, 1061/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/864, 1061/476

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 710/864,1061/476

Given fractions are 710/864,1061/476

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 710,1061

Greatest Common Factor of Numerators i.e. GCF of 710,1061 is 1 .

LCM of Denominators means LCM of 864,476 as per the given fractions.

LCM of 864,476 is 102816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,1061

GCF of Fractions 710/864,1061/476 is 1/102816

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

Greatest Common Factor of 710,1061 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,1061 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 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1,1061

Greatest Common Factor

We found the factors 710,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 710,1061 is 1.

Lets's calculate LCM of 864,476

2 864, 476
2 432, 238
216, 119

∴ So the LCM of the given numbers is 2 x 2 x 216 x 119 = 102816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102816

Therefore, the GCF of Fractions 710/864,1061/476 is 1/102816

Least Common Multiple of 864,476 with GCF Formula

Least Common Multiple of 864,476 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 864,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,476) = 4

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

GCF(864,476) x common factors =4 x 1 = 4

LCM(864,476) = ( 864 × 476 ) / 4

LCM(864,476) = 411264 / 4

LCM(864,476) = 102816


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 710/864, 1061/476

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 710/864, 1061/476?

Answer: GCF of Numerators as per given numbers 710/864, 1061/476 is

GCF of Numerators i.e. for 710,1061 is 1

LCM of denominators i.e. for 864,476 is 102816.

Thus, GCF of Fractions is 1/102816.Finally, GCF of Fractions for 710/864, 1061/476 is 1/102816.