Greatest Common Factor of 524/58, 514/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 524/58, 514/512

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 524/58,514/512

Given fractions are 524/58,514/512

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 524,514

Greatest Common Factor of Numerators i.e. GCF of 524,514 is 2 .

LCM of Denominators means LCM of 58,512 as per the given fractions.

LCM of 58,512 is 14848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 524,514

GCF of Fractions 524/58,514/512 is 2/14848

2 524, 514
262, 257

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

Greatest Common Factor of 524,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,514 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 524,514 . The biggest common factor number is the GCF number.
So the greatest common factor 524,514 is 2.

Lets's calculate LCM of 58,512

2 58, 512
29, 256

∴ So the LCM of the given numbers is 2 x 29 x 256 = 14848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14848

Therefore, the GCF of Fractions 524/58,514/512 is 2/14848

Least Common Multiple of 58,512 with GCF Formula

Least Common Multiple of 58,512 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 58,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,512) = 2

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

GCF(58,512) x common factors =2 x 1 = 2

LCM(58,512) = ( 58 × 512 ) / 2

LCM(58,512) = 29696 / 2

LCM(58,512) = 14848


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 524/58, 514/512

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 524/58, 514/512?

Answer: GCF of Numerators as per given numbers 524/58, 514/512 is

GCF of Numerators i.e. for 524,514 is 2

LCM of denominators i.e. for 58,512 is 14848.

Thus, GCF of Fractions is 2/14848.Finally, GCF of Fractions for 524/58, 514/512 is 2/14848.