Greatest Common Factor of 9642/556, 5666/4660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9642/556, 5666/4660

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 9642/556,5666/4660

Given fractions are 9642/556,5666/4660

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 9642,5666

Greatest Common Factor of Numerators i.e. GCF of 9642,5666 is 2 .

LCM of Denominators means LCM of 556,4660 as per the given fractions.

LCM of 556,4660 is 647740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9642,5666

GCF of Fractions 9642/556,5666/4660 is 2/647740

2 9642, 5666
4821, 2833

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

Greatest Common Factor of 9642,5666 By Matching Biggest Common Factor Method

Greatest Common Factor of 9642,5666 By Matching Biggest Common Factor Method

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Factors of 5666

List of positive integer factors of 5666 that divides 5666 without a remainder.

1,2,2833,5666

Greatest Common Factor

We found the factors 9642,5666 . The biggest common factor number is the GCF number.
So the greatest common factor 9642,5666 is 2.

Lets's calculate LCM of 556,4660

2 556, 4660
2 278, 2330
139, 1165

∴ So the LCM of the given numbers is 2 x 2 x 139 x 1165 = 647740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/647740

Therefore, the GCF of Fractions 9642/556,5666/4660 is 2/647740

Least Common Multiple of 556,4660 with GCF Formula

Least Common Multiple of 556,4660 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 556,4660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,4660) = 4

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

GCF(556,4660) x common factors =4 x 1 = 4

LCM(556,4660) = ( 556 × 4660 ) / 4

LCM(556,4660) = 2590960 / 4

LCM(556,4660) = 647740


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9642/556, 5666/4660

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 9642/556, 5666/4660?

Answer: GCF of Numerators as per given numbers 9642/556, 5666/4660 is

GCF of Numerators i.e. for 9642,5666 is 2

LCM of denominators i.e. for 556,4660 is 647740.

Thus, GCF of Fractions is 2/647740.Finally, GCF of Fractions for 9642/556, 5666/4660 is 2/647740.