Greatest Common Factor of 982/64, 9676/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/64, 9676/477

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 982/64,9676/477

Given fractions are 982/64,9676/477

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 982,9676

Greatest Common Factor of Numerators i.e. GCF of 982,9676 is 2 .

LCM of Denominators means LCM of 64,477 as per the given fractions.

LCM of 64,477 is 30528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,9676

GCF of Fractions 982/64,9676/477 is 2/30528

2 982, 9676
491, 4838

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

Greatest Common Factor of 982,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,9676 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Greatest Common Factor

We found the factors 982,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 982,9676 is 2.

Lets's calculate LCM of 64,477

Given numbers has no common factors except 1. So, there LCM is their product i.e 30528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30528

Therefore, the GCF of Fractions 982/64,9676/477 is 2/30528

Least Common Multiple of 64,477 with GCF Formula

Least Common Multiple of 64,477 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 64,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,477) = 1

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

GCF(64,477) x common factors =1 x 1 = 1

LCM(64,477) = ( 64 × 477 ) / 1

LCM(64,477) = 30528 / 1

LCM(64,477) = 30528


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 982/64, 9676/477

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 982/64, 9676/477?

Answer: GCF of Numerators as per given numbers 982/64, 9676/477 is

GCF of Numerators i.e. for 982,9676 is 2

LCM of denominators i.e. for 64,477 is 30528.

Thus, GCF of Fractions is 2/30528.Finally, GCF of Fractions for 982/64, 9676/477 is 2/30528.