Greatest Common Factor of 7944/406, 9676/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7944/406, 9676/697

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 7944/406,9676/697

Given fractions are 7944/406,9676/697

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 7944,9676

Greatest Common Factor of Numerators i.e. GCF of 7944,9676 is 4 .

LCM of Denominators means LCM of 406,697 as per the given fractions.

LCM of 406,697 is 282982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7944,9676

GCF of Fractions 7944/406,9676/697 is 4/282982

2 7944, 9676
2 3972, 4838
1986, 2419

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7944,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 7944,9676 By Matching Biggest Common Factor Method

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

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 7944,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 7944,9676 is 4.

Lets's calculate LCM of 406,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 282982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/282982

Therefore, the GCF of Fractions 7944/406,9676/697 is 4/282982

Least Common Multiple of 406,697 with GCF Formula

Least Common Multiple of 406,697 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 406,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,697) = 1

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

GCF(406,697) x common factors =1 x 1 = 1

LCM(406,697) = ( 406 × 697 ) / 1

LCM(406,697) = 282982 / 1

LCM(406,697) = 282982


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 7944/406, 9676/697

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 7944/406, 9676/697?

Answer: GCF of Numerators as per given numbers 7944/406, 9676/697 is

GCF of Numerators i.e. for 7944,9676 is 4

LCM of denominators i.e. for 406,697 is 282982.

Thus, GCF of Fractions is 4/282982.Finally, GCF of Fractions for 7944/406, 9676/697 is 4/282982.