Greatest Common Factor of 9577/724, 4516/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9577/724, 4516/705

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 9577/724,4516/705

Given fractions are 9577/724,4516/705

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 9577,4516

Greatest Common Factor of Numerators i.e. GCF of 9577,4516 is 1 .

LCM of Denominators means LCM of 724,705 as per the given fractions.

LCM of 724,705 is 510420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9577,4516

GCF of Fractions 9577/724,4516/705 is 1/510420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9577,4516 By Matching Biggest Common Factor Method

Greatest Common Factor of 9577,4516 By Matching Biggest Common Factor Method

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1,61,157,9577

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1,2,4,1129,2258,4516

Greatest Common Factor

We found the factors 9577,4516 . The biggest common factor number is the GCF number.
So the greatest common factor 9577,4516 is 1.

Lets's calculate LCM of 724,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 510420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510420

Therefore, the GCF of Fractions 9577/724,4516/705 is 1/510420

Least Common Multiple of 724,705 with GCF Formula

Least Common Multiple of 724,705 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 724,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,705) = 1

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

GCF(724,705) x common factors =1 x 1 = 1

LCM(724,705) = ( 724 × 705 ) / 1

LCM(724,705) = 510420 / 1

LCM(724,705) = 510420


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 9577/724, 4516/705

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 9577/724, 4516/705?

Answer: GCF of Numerators as per given numbers 9577/724, 4516/705 is

GCF of Numerators i.e. for 9577,4516 is 1

LCM of denominators i.e. for 724,705 is 510420.

Thus, GCF of Fractions is 1/510420.Finally, GCF of Fractions for 9577/724, 4516/705 is 1/510420.