Greatest Common Factor of 24/52, 544/69, 256/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/52, 544/69, 256/413

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 24/52,544/69,256/413

Given fractions are 24/52,544/69,256/413

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 24,544,256

Greatest Common Factor of Numerators i.e. GCF of 24,544,256 is 8 .

LCM of Denominators means LCM of 52,69,413 as per the given fractions.

LCM of 52,69,413 is 1481844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,544,256

GCF of Fractions 24/52,544/69,256/413 is 8/1481844

2 24, 544, 256
2 12, 272, 128
2 6, 136, 64
3, 68, 32

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 24,544,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,544,256 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 24,544,256 . The biggest common factor number is the GCF number.
So the greatest common factor 24,544,256 is 8.

Lets's calculate LCM of 52,69,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 1481844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1481844

Therefore, the GCF of Fractions 24/52,544/69,256/413 is 8/1481844

Least Common Multiple of 52,69,413 with GCF Formula

Least Common Multiple of 52,69,413 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 52,69,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,69,413) = 1

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

GCF(52,69,413) x common factors =1 x 1 = 1

LCM(52,69,413) = ( 52 × 69 × 413 ) / 1

LCM(52,69,413) = 1481844 / 1

LCM(52,69,413) = 1481844


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 24/52, 544/69, 256/413

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 24/52, 544/69, 256/413?

Answer: GCF of Numerators as per given numbers 24/52, 544/69, 256/413 is

GCF of Numerators i.e. for 24,544,256 is 8

LCM of denominators i.e. for 52,69,413 is 1481844.

Thus, GCF of Fractions is 8/1481844.Finally, GCF of Fractions for 24/52, 544/69, 256/413 is 8/1481844.