Greatest Common Factor of 9624/516, 7181/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9624/516, 7181/779

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 9624/516,7181/779

Given fractions are 9624/516,7181/779

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 9624,7181

Greatest Common Factor of Numerators i.e. GCF of 9624,7181 is 1 .

LCM of Denominators means LCM of 516,779 as per the given fractions.

LCM of 516,779 is 401964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9624,7181

GCF of Fractions 9624/516,7181/779 is 1/401964

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

Greatest Common Factor of 9624,7181 By Matching Biggest Common Factor Method

Greatest Common Factor of 9624,7181 By Matching Biggest Common Factor Method

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624

Factors of 7181

List of positive integer factors of 7181 that divides 7181 without a remainder.

1,43,167,7181

Greatest Common Factor

We found the factors 9624,7181 . The biggest common factor number is the GCF number.
So the greatest common factor 9624,7181 is 1.

Lets's calculate LCM of 516,779

Given numbers has no common factors except 1. So, there LCM is their product i.e 401964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401964

Therefore, the GCF of Fractions 9624/516,7181/779 is 1/401964

Least Common Multiple of 516,779 with GCF Formula

Least Common Multiple of 516,779 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 516,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,779) = 1

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

GCF(516,779) x common factors =1 x 1 = 1

LCM(516,779) = ( 516 × 779 ) / 1

LCM(516,779) = 401964 / 1

LCM(516,779) = 401964


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 9624/516, 7181/779

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 9624/516, 7181/779?

Answer: GCF of Numerators as per given numbers 9624/516, 7181/779 is

GCF of Numerators i.e. for 9624,7181 is 1

LCM of denominators i.e. for 516,779 is 401964.

Thus, GCF of Fractions is 1/401964.Finally, GCF of Fractions for 9624/516, 7181/779 is 1/401964.