Greatest Common Factor of 983/21, 917/98, 715/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/21, 917/98, 715/64

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 983/21,917/98,715/64

Given fractions are 983/21,917/98,715/64

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 983,917,715

Greatest Common Factor of Numerators i.e. GCF of 983,917,715 is 1 .

LCM of Denominators means LCM of 21,98,64 as per the given fractions.

LCM of 21,98,64 is 9408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,917,715

GCF of Fractions 983/21,917/98,715/64 is 1/9408

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

Greatest Common Factor of 983,917,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,917,715 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 983,917,715 . The biggest common factor number is the GCF number.
So the greatest common factor 983,917,715 is 1.

Lets's calculate LCM of 21,98,64

2 21, 98, 64
7 21, 49, 32
3, 7, 32

∴ So the LCM of the given numbers is 2 x 7 x 3 x 7 x 32 = 9408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9408

Therefore, the GCF of Fractions 983/21,917/98,715/64 is 1/9408

Least Common Multiple of 21,98,64 with GCF Formula

Least Common Multiple of 21,98,64 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 21,98,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,98,64) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(21,98,64) x common factors =1 x 14 = 14

LCM(21,98,64) = ( 21 × 98 × 64 ) / 14

LCM(21,98,64) = 131712 / 14

LCM(21,98,64) = 9408


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 983/21, 917/98, 715/64

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 983/21, 917/98, 715/64?

Answer: GCF of Numerators as per given numbers 983/21, 917/98, 715/64 is

GCF of Numerators i.e. for 983,917,715 is 1

LCM of denominators i.e. for 21,98,64 is 9408.

Thus, GCF of Fractions is 1/9408.Finally, GCF of Fractions for 983/21, 917/98, 715/64 is 1/9408.