Greatest Common Factor of 7/10, 53/37, 58/799, 664/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/10, 53/37, 58/799, 664/634

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 7/10,53/37,58/799,664/634

Given fractions are 7/10,53/37,58/799,664/634

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 7,53,58,664

Greatest Common Factor of Numerators i.e. GCF of 7,53,58,664 is 1 .

LCM of Denominators means LCM of 10,37,799,634 as per the given fractions.

LCM of 10,37,799,634 is 93714710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,53,58,664

GCF of Fractions 7/10,53/37,58/799,664/634 is 1/93714710

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

Greatest Common Factor of 7,53,58,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,53,58,664 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 7,53,58,664 . The biggest common factor number is the GCF number.
So the greatest common factor 7,53,58,664 is 1.

Lets's calculate LCM of 10,37,799,634

2 10, 37, 799, 634
5, 37, 799, 317

∴ So the LCM of the given numbers is 2 x 5 x 37 x 799 x 317 = 93714710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93714710

Therefore, the GCF of Fractions 7/10,53/37,58/799,664/634 is 1/93714710

Least Common Multiple of 10,37,799,634 with GCF Formula

Least Common Multiple of 10,37,799,634 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 10,37,799,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,37,799,634) = 1

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

GCF(10,37,799,634) x common factors =1 x 2 = 2

LCM(10,37,799,634) = ( 10 × 37 × 799 × 634 ) / 2

LCM(10,37,799,634) = 187429420 / 2

LCM(10,37,799,634) = 93714710


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 7/10, 53/37, 58/799, 664/634

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 7/10, 53/37, 58/799, 664/634?

Answer: GCF of Numerators as per given numbers 7/10, 53/37, 58/799, 664/634 is

GCF of Numerators i.e. for 7,53,58,664 is 1

LCM of denominators i.e. for 10,37,799,634 is 93714710.

Thus, GCF of Fractions is 1/93714710.Finally, GCF of Fractions for 7/10, 53/37, 58/799, 664/634 is 1/93714710.