Greatest Common Factor of 3997/126, 9721/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3997/126, 9721/742

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 3997/126,9721/742

Given fractions are 3997/126,9721/742

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 3997,9721

Greatest Common Factor of Numerators i.e. GCF of 3997,9721 is 1 .

LCM of Denominators means LCM of 126,742 as per the given fractions.

LCM of 126,742 is 6678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3997,9721

GCF of Fractions 3997/126,9721/742 is 1/6678

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

Greatest Common Factor of 3997,9721 By Matching Biggest Common Factor Method

Greatest Common Factor of 3997,9721 By Matching Biggest Common Factor Method

Factors of 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1,7,571,3997

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1,9721

Greatest Common Factor

We found the factors 3997,9721 . The biggest common factor number is the GCF number.
So the greatest common factor 3997,9721 is 1.

Lets's calculate LCM of 126,742

2 126, 742
7 63, 371
9, 53

∴ So the LCM of the given numbers is 2 x 7 x 9 x 53 = 6678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6678

Therefore, the GCF of Fractions 3997/126,9721/742 is 1/6678

Least Common Multiple of 126,742 with GCF Formula

Least Common Multiple of 126,742 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 126,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,742) = 14

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

GCF(126,742) x common factors =14 x 1 = 14

LCM(126,742) = ( 126 × 742 ) / 14

LCM(126,742) = 93492 / 14

LCM(126,742) = 6678


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 3997/126, 9721/742

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 3997/126, 9721/742?

Answer: GCF of Numerators as per given numbers 3997/126, 9721/742 is

GCF of Numerators i.e. for 3997,9721 is 1

LCM of denominators i.e. for 126,742 is 6678.

Thus, GCF of Fractions is 1/6678.Finally, GCF of Fractions for 3997/126, 9721/742 is 1/6678.