Greatest Common Factor of 629/68, 697/79, 721/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/68, 697/79, 721/938

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 629/68,697/79,721/938

Given fractions are 629/68,697/79,721/938

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 629,697,721

Greatest Common Factor of Numerators i.e. GCF of 629,697,721 is 1 .

LCM of Denominators means LCM of 68,79,938 as per the given fractions.

LCM of 68,79,938 is 2519468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,697,721

GCF of Fractions 629/68,697/79,721/938 is 1/2519468

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

Greatest Common Factor of 629,697,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,697,721 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 629,697,721 . The biggest common factor number is the GCF number.
So the greatest common factor 629,697,721 is 1.

Lets's calculate LCM of 68,79,938

2 68, 79, 938
34, 79, 469

∴ So the LCM of the given numbers is 2 x 34 x 79 x 469 = 2519468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2519468

Therefore, the GCF of Fractions 629/68,697/79,721/938 is 1/2519468

Least Common Multiple of 68,79,938 with GCF Formula

Least Common Multiple of 68,79,938 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 68,79,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,79,938) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,79,938) x common factors =1 x 2 = 2

LCM(68,79,938) = ( 68 × 79 × 938 ) / 2

LCM(68,79,938) = 5038936 / 2

LCM(68,79,938) = 2519468


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 629/68, 697/79, 721/938

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 629/68, 697/79, 721/938?

Answer: GCF of Numerators as per given numbers 629/68, 697/79, 721/938 is

GCF of Numerators i.e. for 629,697,721 is 1

LCM of denominators i.e. for 68,79,938 is 2519468.

Thus, GCF of Fractions is 1/2519468.Finally, GCF of Fractions for 629/68, 697/79, 721/938 is 1/2519468.