Greatest Common Factor of 7973/424, 3782/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7973/424, 3782/498

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 7973/424,3782/498

Given fractions are 7973/424,3782/498

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 7973,3782

Greatest Common Factor of Numerators i.e. GCF of 7973,3782 is 1 .

LCM of Denominators means LCM of 424,498 as per the given fractions.

LCM of 424,498 is 105576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7973,3782

GCF of Fractions 7973/424,3782/498 is 1/105576

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

Greatest Common Factor of 7973,3782 By Matching Biggest Common Factor Method

Greatest Common Factor of 7973,3782 By Matching Biggest Common Factor Method

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 7973,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,3782 is 1.

Lets's calculate LCM of 424,498

2 424, 498
212, 249

∴ So the LCM of the given numbers is 2 x 212 x 249 = 105576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105576

Therefore, the GCF of Fractions 7973/424,3782/498 is 1/105576

Least Common Multiple of 424,498 with GCF Formula

Least Common Multiple of 424,498 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 424,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,498) = 2

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

GCF(424,498) x common factors =2 x 1 = 2

LCM(424,498) = ( 424 × 498 ) / 2

LCM(424,498) = 211152 / 2

LCM(424,498) = 105576


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 7973/424, 3782/498

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 7973/424, 3782/498?

Answer: GCF of Numerators as per given numbers 7973/424, 3782/498 is

GCF of Numerators i.e. for 7973,3782 is 1

LCM of denominators i.e. for 424,498 is 105576.

Thus, GCF of Fractions is 1/105576.Finally, GCF of Fractions for 7973/424, 3782/498 is 1/105576.