Greatest Common Factor of 4550/595, 1521/8724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4550/595, 1521/8724

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 4550/595,1521/8724

Given fractions are 4550/595,1521/8724

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 4550,1521

Greatest Common Factor of Numerators i.e. GCF of 4550,1521 is 13 .

LCM of Denominators means LCM of 595,8724 as per the given fractions.

LCM of 595,8724 is 5190780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4550,1521

GCF of Fractions 4550/595,1521/8724 is 13/5190780

13 4550, 1521
350, 117

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4550,1521 By Matching Biggest Common Factor Method

Greatest Common Factor of 4550,1521 By Matching Biggest Common Factor Method

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550

Factors of 1521

List of positive integer factors of 1521 that divides 1521 without a remainder.

1,3,9,13,39,117,169,507,1521

Greatest Common Factor

We found the factors 4550,1521 . The biggest common factor number is the GCF number.
So the greatest common factor 4550,1521 is 13.

Lets's calculate LCM of 595,8724

Given numbers has no common factors except 1. So, there LCM is their product i.e 5190780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5190780

Therefore, the GCF of Fractions 4550/595,1521/8724 is 13/5190780

Least Common Multiple of 595,8724 with GCF Formula

Least Common Multiple of 595,8724 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 595,8724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,8724) = 1

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

GCF(595,8724) x common factors =1 x 1 = 1

LCM(595,8724) = ( 595 × 8724 ) / 1

LCM(595,8724) = 5190780 / 1

LCM(595,8724) = 5190780


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 4550/595, 1521/8724

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 4550/595, 1521/8724?

Answer: GCF of Numerators as per given numbers 4550/595, 1521/8724 is

GCF of Numerators i.e. for 4550,1521 is 13

LCM of denominators i.e. for 595,8724 is 5190780.

Thus, GCF of Fractions is 13/5190780.Finally, GCF of Fractions for 4550/595, 1521/8724 is 13/5190780.