Greatest Common Factor of 525/824, 4737/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 525/824, 4737/678

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 525/824,4737/678

Given fractions are 525/824,4737/678

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 525,4737

Greatest Common Factor of Numerators i.e. GCF of 525,4737 is 3 .

LCM of Denominators means LCM of 824,678 as per the given fractions.

LCM of 824,678 is 279336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 525,4737

GCF of Fractions 525/824,4737/678 is 3/279336

3 525, 4737
175, 1579

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 525,4737 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,4737 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 4737

List of positive integer factors of 4737 that divides 4737 without a remainder.

1,3,1579,4737

Greatest Common Factor

We found the factors 525,4737 . The biggest common factor number is the GCF number.
So the greatest common factor 525,4737 is 3.

Lets's calculate LCM of 824,678

2 824, 678
412, 339

∴ So the LCM of the given numbers is 2 x 412 x 339 = 279336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/279336

Therefore, the GCF of Fractions 525/824,4737/678 is 3/279336

Least Common Multiple of 824,678 with GCF Formula

Least Common Multiple of 824,678 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 824,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,678) = 2

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

GCF(824,678) x common factors =2 x 1 = 2

LCM(824,678) = ( 824 × 678 ) / 2

LCM(824,678) = 558672 / 2

LCM(824,678) = 279336


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 525/824, 4737/678

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 525/824, 4737/678?

Answer: GCF of Numerators as per given numbers 525/824, 4737/678 is

GCF of Numerators i.e. for 525,4737 is 3

LCM of denominators i.e. for 824,678 is 279336.

Thus, GCF of Fractions is 3/279336.Finally, GCF of Fractions for 525/824, 4737/678 is 3/279336.