Greatest Common Factor of 710/896, 5464/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/896, 5464/617

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 710/896,5464/617

Given fractions are 710/896,5464/617

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 710,5464

Greatest Common Factor of Numerators i.e. GCF of 710,5464 is 2 .

LCM of Denominators means LCM of 896,617 as per the given fractions.

LCM of 896,617 is 552832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,5464

GCF of Fractions 710/896,5464/617 is 2/552832

2 710, 5464
355, 2732

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

Greatest Common Factor of 710,5464 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,5464 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 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Greatest Common Factor

We found the factors 710,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 710,5464 is 2.

Lets's calculate LCM of 896,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 552832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552832

Therefore, the GCF of Fractions 710/896,5464/617 is 2/552832

Least Common Multiple of 896,617 with GCF Formula

Least Common Multiple of 896,617 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 896,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,617) = 1

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

GCF(896,617) x common factors =1 x 1 = 1

LCM(896,617) = ( 896 × 617 ) / 1

LCM(896,617) = 552832 / 1

LCM(896,617) = 552832


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 710/896, 5464/617

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 710/896, 5464/617?

Answer: GCF of Numerators as per given numbers 710/896, 5464/617 is

GCF of Numerators i.e. for 710,5464 is 2

LCM of denominators i.e. for 896,617 is 552832.

Thus, GCF of Fractions is 2/552832.Finally, GCF of Fractions for 710/896, 5464/617 is 2/552832.