Greatest Common Factor of 512/56, 900/5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/56, 900/5122

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 512/56,900/5122

Given fractions are 512/56,900/5122

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 512,900

Greatest Common Factor of Numerators i.e. GCF of 512,900 is 4 .

LCM of Denominators means LCM of 56,5122 as per the given fractions.

LCM of 56,5122 is 143416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,900

GCF of Fractions 512/56,900/5122 is 4/143416

2 512, 900
2 256, 450
128, 225

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

Greatest Common Factor of 512,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,900 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 512,900 . The biggest common factor number is the GCF number.
So the greatest common factor 512,900 is 4.

Lets's calculate LCM of 56,5122

2 56, 5122
28, 2561

∴ So the LCM of the given numbers is 2 x 28 x 2561 = 143416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/143416

Therefore, the GCF of Fractions 512/56,900/5122 is 4/143416

Least Common Multiple of 56,5122 with GCF Formula

Least Common Multiple of 56,5122 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 56,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,5122) = 2

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

GCF(56,5122) x common factors =2 x 1 = 2

LCM(56,5122) = ( 56 × 5122 ) / 2

LCM(56,5122) = 286832 / 2

LCM(56,5122) = 143416


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 512/56, 900/5122

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 512/56, 900/5122?

Answer: GCF of Numerators as per given numbers 512/56, 900/5122 is

GCF of Numerators i.e. for 512,900 is 4

LCM of denominators i.e. for 56,5122 is 143416.

Thus, GCF of Fractions is 4/143416.Finally, GCF of Fractions for 512/56, 900/5122 is 4/143416.