Greatest Common Factor of 6989/972, 4492/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6989/972, 4492/715

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 6989/972,4492/715

Given fractions are 6989/972,4492/715

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 6989,4492

Greatest Common Factor of Numerators i.e. GCF of 6989,4492 is 1 .

LCM of Denominators means LCM of 972,715 as per the given fractions.

LCM of 972,715 is 694980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6989,4492

GCF of Fractions 6989/972,4492/715 is 1/694980

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

Greatest Common Factor of 6989,4492 By Matching Biggest Common Factor Method

Greatest Common Factor of 6989,4492 By Matching Biggest Common Factor Method

Factors of 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1,29,241,6989

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1,2,4,1123,2246,4492

Greatest Common Factor

We found the factors 6989,4492 . The biggest common factor number is the GCF number.
So the greatest common factor 6989,4492 is 1.

Lets's calculate LCM of 972,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 694980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694980

Therefore, the GCF of Fractions 6989/972,4492/715 is 1/694980

Least Common Multiple of 972,715 with GCF Formula

Least Common Multiple of 972,715 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 972,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,715) = 1

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

GCF(972,715) x common factors =1 x 1 = 1

LCM(972,715) = ( 972 × 715 ) / 1

LCM(972,715) = 694980 / 1

LCM(972,715) = 694980


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 6989/972, 4492/715

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 6989/972, 4492/715?

Answer: GCF of Numerators as per given numbers 6989/972, 4492/715 is

GCF of Numerators i.e. for 6989,4492 is 1

LCM of denominators i.e. for 972,715 is 694980.

Thus, GCF of Fractions is 1/694980.Finally, GCF of Fractions for 6989/972, 4492/715 is 1/694980.