Greatest Common Factor of 2358/666, 5420/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2358/666, 5420/772

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 2358/666,5420/772

Given fractions are 2358/666,5420/772

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 2358,5420

Greatest Common Factor of Numerators i.e. GCF of 2358,5420 is 2 .

LCM of Denominators means LCM of 666,772 as per the given fractions.

LCM of 666,772 is 257076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2358,5420

GCF of Fractions 2358/666,5420/772 is 2/257076

2 2358, 5420
1179, 2710

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

Greatest Common Factor of 2358,5420 By Matching Biggest Common Factor Method

Greatest Common Factor of 2358,5420 By Matching Biggest Common Factor Method

Factors of 2358

List of positive integer factors of 2358 that divides 2358 without a remainder.

1,2,3,6,9,18,131,262,393,786,1179,2358

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Greatest Common Factor

We found the factors 2358,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 2358,5420 is 2.

Lets's calculate LCM of 666,772

2 666, 772
333, 386

∴ So the LCM of the given numbers is 2 x 333 x 386 = 257076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/257076

Therefore, the GCF of Fractions 2358/666,5420/772 is 2/257076

Least Common Multiple of 666,772 with GCF Formula

Least Common Multiple of 666,772 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 666,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,772) = 2

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

GCF(666,772) x common factors =2 x 1 = 2

LCM(666,772) = ( 666 × 772 ) / 2

LCM(666,772) = 514152 / 2

LCM(666,772) = 257076


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 2358/666, 5420/772

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 2358/666, 5420/772?

Answer: GCF of Numerators as per given numbers 2358/666, 5420/772 is

GCF of Numerators i.e. for 2358,5420 is 2

LCM of denominators i.e. for 666,772 is 257076.

Thus, GCF of Fractions is 2/257076.Finally, GCF of Fractions for 2358/666, 5420/772 is 2/257076.