Greatest Common Factor of 2552/567, 5311/9090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2552/567, 5311/9090

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 2552/567,5311/9090

Given fractions are 2552/567,5311/9090

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 2552,5311

Greatest Common Factor of Numerators i.e. GCF of 2552,5311 is 1 .

LCM of Denominators means LCM of 567,9090 as per the given fractions.

LCM of 567,9090 is 572670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2552,5311

GCF of Fractions 2552/567,5311/9090 is 1/572670

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

Greatest Common Factor of 2552,5311 By Matching Biggest Common Factor Method

Greatest Common Factor of 2552,5311 By Matching Biggest Common Factor Method

Factors of 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1,47,113,5311

Greatest Common Factor

We found the factors 2552,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 2552,5311 is 1.

Lets's calculate LCM of 567,9090

3 567, 9090
3 189, 3030
63, 1010

∴ So the LCM of the given numbers is 3 x 3 x 63 x 1010 = 572670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572670

Therefore, the GCF of Fractions 2552/567,5311/9090 is 1/572670

Least Common Multiple of 567,9090 with GCF Formula

Least Common Multiple of 567,9090 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 567,9090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,9090) = 9

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

GCF(567,9090) x common factors =9 x 1 = 9

LCM(567,9090) = ( 567 × 9090 ) / 9

LCM(567,9090) = 5154030 / 9

LCM(567,9090) = 572670


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 2552/567, 5311/9090

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 2552/567, 5311/9090?

Answer: GCF of Numerators as per given numbers 2552/567, 5311/9090 is

GCF of Numerators i.e. for 2552,5311 is 1

LCM of denominators i.e. for 567,9090 is 572670.

Thus, GCF of Fractions is 1/572670.Finally, GCF of Fractions for 2552/567, 5311/9090 is 1/572670.