Greatest Common Factor of 5220/218, 9572/4220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5220/218, 9572/4220

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 5220/218,9572/4220

Given fractions are 5220/218,9572/4220

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 5220,9572

Greatest Common Factor of Numerators i.e. GCF of 5220,9572 is 4 .

LCM of Denominators means LCM of 218,4220 as per the given fractions.

LCM of 218,4220 is 459980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5220,9572

GCF of Fractions 5220/218,9572/4220 is 4/459980

2 5220, 9572
2 2610, 4786
1305, 2393

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5220,9572 By Matching Biggest Common Factor Method

Greatest Common Factor of 5220,9572 By Matching Biggest Common Factor Method

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1,2,4,2393,4786,9572

Greatest Common Factor

We found the factors 5220,9572 . The biggest common factor number is the GCF number.
So the greatest common factor 5220,9572 is 4.

Lets's calculate LCM of 218,4220

2 218, 4220
109, 2110

∴ So the LCM of the given numbers is 2 x 109 x 2110 = 459980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/459980

Therefore, the GCF of Fractions 5220/218,9572/4220 is 4/459980

Least Common Multiple of 218,4220 with GCF Formula

Least Common Multiple of 218,4220 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 218,4220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,4220) = 2

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

GCF(218,4220) x common factors =2 x 1 = 2

LCM(218,4220) = ( 218 × 4220 ) / 2

LCM(218,4220) = 919960 / 2

LCM(218,4220) = 459980


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 5220/218, 9572/4220

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 5220/218, 9572/4220?

Answer: GCF of Numerators as per given numbers 5220/218, 9572/4220 is

GCF of Numerators i.e. for 5220,9572 is 4

LCM of denominators i.e. for 218,4220 is 459980.

Thus, GCF of Fractions is 4/459980.Finally, GCF of Fractions for 5220/218, 9572/4220 is 4/459980.