Greatest Common Factor of 6340/84, 3971/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6340/84, 3971/989

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 6340/84,3971/989

Given fractions are 6340/84,3971/989

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 6340,3971

Greatest Common Factor of Numerators i.e. GCF of 6340,3971 is 1 .

LCM of Denominators means LCM of 84,989 as per the given fractions.

LCM of 84,989 is 83076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6340,3971

GCF of Fractions 6340/84,3971/989 is 1/83076

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

Greatest Common Factor of 6340,3971 By Matching Biggest Common Factor Method

Greatest Common Factor of 6340,3971 By Matching Biggest Common Factor Method

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Factors of 3971

List of positive integer factors of 3971 that divides 3971 without a remainder.

1,11,19,209,361,3971

Greatest Common Factor

We found the factors 6340,3971 . The biggest common factor number is the GCF number.
So the greatest common factor 6340,3971 is 1.

Lets's calculate LCM of 84,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 83076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83076

Therefore, the GCF of Fractions 6340/84,3971/989 is 1/83076

Least Common Multiple of 84,989 with GCF Formula

Least Common Multiple of 84,989 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 84,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,989) = 1

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

GCF(84,989) x common factors =1 x 1 = 1

LCM(84,989) = ( 84 × 989 ) / 1

LCM(84,989) = 83076 / 1

LCM(84,989) = 83076


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 6340/84, 3971/989

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 6340/84, 3971/989?

Answer: GCF of Numerators as per given numbers 6340/84, 3971/989 is

GCF of Numerators i.e. for 6340,3971 is 1

LCM of denominators i.e. for 84,989 is 83076.

Thus, GCF of Fractions is 1/83076.Finally, GCF of Fractions for 6340/84, 3971/989 is 1/83076.