Greatest Common Factor of 9924/359, 5068/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9924/359, 5068/772

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 9924/359,5068/772

Given fractions are 9924/359,5068/772

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 9924,5068

Greatest Common Factor of Numerators i.e. GCF of 9924,5068 is 4 .

LCM of Denominators means LCM of 359,772 as per the given fractions.

LCM of 359,772 is 277148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9924,5068

GCF of Fractions 9924/359,5068/772 is 4/277148

2 9924, 5068
2 4962, 2534
2481, 1267

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9924,5068 By Matching Biggest Common Factor Method

Greatest Common Factor of 9924,5068 By Matching Biggest Common Factor Method

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Factors of 5068

List of positive integer factors of 5068 that divides 5068 without a remainder.

1,2,4,7,14,28,181,362,724,1267,2534,5068

Greatest Common Factor

We found the factors 9924,5068 . The biggest common factor number is the GCF number.
So the greatest common factor 9924,5068 is 4.

Lets's calculate LCM of 359,772

Given numbers has no common factors except 1. So, there LCM is their product i.e 277148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/277148

Therefore, the GCF of Fractions 9924/359,5068/772 is 4/277148

Least Common Multiple of 359,772 with GCF Formula

Least Common Multiple of 359,772 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 359,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,772) = 1

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

GCF(359,772) x common factors =1 x 1 = 1

LCM(359,772) = ( 359 × 772 ) / 1

LCM(359,772) = 277148 / 1

LCM(359,772) = 277148


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 9924/359, 5068/772

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 9924/359, 5068/772?

Answer: GCF of Numerators as per given numbers 9924/359, 5068/772 is

GCF of Numerators i.e. for 9924,5068 is 4

LCM of denominators i.e. for 359,772 is 277148.

Thus, GCF of Fractions is 4/277148.Finally, GCF of Fractions for 9924/359, 5068/772 is 4/277148.