Greatest Common Factor of 9616/320, 5027/5164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9616/320, 5027/5164

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 9616/320,5027/5164

Given fractions are 9616/320,5027/5164

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 9616,5027

Greatest Common Factor of Numerators i.e. GCF of 9616,5027 is 1 .

LCM of Denominators means LCM of 320,5164 as per the given fractions.

LCM of 320,5164 is 413120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9616,5027

GCF of Fractions 9616/320,5027/5164 is 1/413120

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

Greatest Common Factor of 9616,5027 By Matching Biggest Common Factor Method

Greatest Common Factor of 9616,5027 By Matching Biggest Common Factor Method

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1,2,4,8,16,601,1202,2404,4808,9616

Factors of 5027

List of positive integer factors of 5027 that divides 5027 without a remainder.

1,11,457,5027

Greatest Common Factor

We found the factors 9616,5027 . The biggest common factor number is the GCF number.
So the greatest common factor 9616,5027 is 1.

Lets's calculate LCM of 320,5164

2 320, 5164
2 160, 2582
80, 1291

∴ So the LCM of the given numbers is 2 x 2 x 80 x 1291 = 413120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413120

Therefore, the GCF of Fractions 9616/320,5027/5164 is 1/413120

Least Common Multiple of 320,5164 with GCF Formula

Least Common Multiple of 320,5164 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 320,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,5164) = 4

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

GCF(320,5164) x common factors =4 x 1 = 4

LCM(320,5164) = ( 320 × 5164 ) / 4

LCM(320,5164) = 1652480 / 4

LCM(320,5164) = 413120


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 9616/320, 5027/5164

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 9616/320, 5027/5164?

Answer: GCF of Numerators as per given numbers 9616/320, 5027/5164 is

GCF of Numerators i.e. for 9616,5027 is 1

LCM of denominators i.e. for 320,5164 is 413120.

Thus, GCF of Fractions is 1/413120.Finally, GCF of Fractions for 9616/320, 5027/5164 is 1/413120.