Greatest Common Factor of 9616/768, 4875/1363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9616/768, 4875/1363

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 9616/768,4875/1363

Given fractions are 9616/768,4875/1363

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 9616,4875

Greatest Common Factor of Numerators i.e. GCF of 9616,4875 is 1 .

LCM of Denominators means LCM of 768,1363 as per the given fractions.

LCM of 768,1363 is 1046784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9616,4875

GCF of Fractions 9616/768,4875/1363 is 1/1046784

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

Greatest Common Factor of 9616,4875 By Matching Biggest Common Factor Method

Greatest Common Factor of 9616,4875 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 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875

Greatest Common Factor

We found the factors 9616,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 9616,4875 is 1.

Lets's calculate LCM of 768,1363

Given numbers has no common factors except 1. So, there LCM is their product i.e 1046784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1046784

Therefore, the GCF of Fractions 9616/768,4875/1363 is 1/1046784

Least Common Multiple of 768,1363 with GCF Formula

Least Common Multiple of 768,1363 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 768,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,1363) = 1

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

GCF(768,1363) x common factors =1 x 1 = 1

LCM(768,1363) = ( 768 × 1363 ) / 1

LCM(768,1363) = 1046784 / 1

LCM(768,1363) = 1046784


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 9616/768, 4875/1363

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 9616/768, 4875/1363?

Answer: GCF of Numerators as per given numbers 9616/768, 4875/1363 is

GCF of Numerators i.e. for 9616,4875 is 1

LCM of denominators i.e. for 768,1363 is 1046784.

Thus, GCF of Fractions is 1/1046784.Finally, GCF of Fractions for 9616/768, 4875/1363 is 1/1046784.