Greatest Common Factor of 3614/979, 8845/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3614/979, 8845/968

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 3614/979,8845/968

Given fractions are 3614/979,8845/968

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 3614,8845

Greatest Common Factor of Numerators i.e. GCF of 3614,8845 is 1 .

LCM of Denominators means LCM of 979,968 as per the given fractions.

LCM of 979,968 is 86152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3614,8845

GCF of Fractions 3614/979,8845/968 is 1/86152

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

Greatest Common Factor of 3614,8845 By Matching Biggest Common Factor Method

Greatest Common Factor of 3614,8845 By Matching Biggest Common Factor Method

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Factors of 8845

List of positive integer factors of 8845 that divides 8845 without a remainder.

1,5,29,61,145,305,1769,8845

Greatest Common Factor

We found the factors 3614,8845 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,8845 is 1.

Lets's calculate LCM of 979,968

11 979, 968
89, 88

∴ So the LCM of the given numbers is 11 x 89 x 88 = 86152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86152

Therefore, the GCF of Fractions 3614/979,8845/968 is 1/86152

Least Common Multiple of 979,968 with GCF Formula

Least Common Multiple of 979,968 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 979,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,968) = 11

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

GCF(979,968) x common factors =11 x 1 = 11

LCM(979,968) = ( 979 × 968 ) / 11

LCM(979,968) = 947672 / 11

LCM(979,968) = 86152


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 3614/979, 8845/968

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 3614/979, 8845/968?

Answer: GCF of Numerators as per given numbers 3614/979, 8845/968 is

GCF of Numerators i.e. for 3614,8845 is 1

LCM of denominators i.e. for 979,968 is 86152.

Thus, GCF of Fractions is 1/86152.Finally, GCF of Fractions for 3614/979, 8845/968 is 1/86152.