Greatest Common Factor of 552/5524, 864/5511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/5524, 864/5511

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 552/5524,864/5511

Given fractions are 552/5524,864/5511

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 552,864

Greatest Common Factor of Numerators i.e. GCF of 552,864 is 24 .

LCM of Denominators means LCM of 5524,5511 as per the given fractions.

LCM of 5524,5511 is 30442764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,864

GCF of Fractions 552/5524,864/5511 is 24/30442764

2 552, 864
2 276, 432
2 138, 216
3 69, 108
23, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 552,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,864 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 552,864 . The biggest common factor number is the GCF number.
So the greatest common factor 552,864 is 24.

Lets's calculate LCM of 5524,5511

Given numbers has no common factors except 1. So, there LCM is their product i.e 30442764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/30442764

Therefore, the GCF of Fractions 552/5524,864/5511 is 24/30442764

Least Common Multiple of 5524,5511 with GCF Formula

Least Common Multiple of 5524,5511 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 5524,5511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5524,5511) = 1

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

GCF(5524,5511) x common factors =1 x 1 = 1

LCM(5524,5511) = ( 5524 × 5511 ) / 1

LCM(5524,5511) = 30442764 / 1

LCM(5524,5511) = 30442764


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 552/5524, 864/5511

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 552/5524, 864/5511?

Answer: GCF of Numerators as per given numbers 552/5524, 864/5511 is

GCF of Numerators i.e. for 552,864 is 24

LCM of denominators i.e. for 5524,5511 is 30442764.

Thus, GCF of Fractions is 24/30442764.Finally, GCF of Fractions for 552/5524, 864/5511 is 24/30442764.