Greatest Common Factor of 30/252, 63/634, 679/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/252, 63/634, 679/731

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 30/252,63/634,679/731

Given fractions are 30/252,63/634,679/731

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 30,63,679

Greatest Common Factor of Numerators i.e. GCF of 30,63,679 is 1 .

LCM of Denominators means LCM of 252,634,731 as per the given fractions.

LCM of 252,634,731 is 58395204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,63,679

GCF of Fractions 30/252,63/634,679/731 is 1/58395204

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

Greatest Common Factor of 30,63,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,63,679 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 30,63,679 . The biggest common factor number is the GCF number.
So the greatest common factor 30,63,679 is 1.

Lets's calculate LCM of 252,634,731

2 252, 634, 731
126, 317, 731

∴ So the LCM of the given numbers is 2 x 126 x 317 x 731 = 58395204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58395204

Therefore, the GCF of Fractions 30/252,63/634,679/731 is 1/58395204

Least Common Multiple of 252,634,731 with GCF Formula

Least Common Multiple of 252,634,731 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 252,634,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,634,731) = 1

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

GCF(252,634,731) x common factors =1 x 2 = 2

LCM(252,634,731) = ( 252 × 634 × 731 ) / 2

LCM(252,634,731) = 116790408 / 2

LCM(252,634,731) = 58395204


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 30/252, 63/634, 679/731

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 30/252, 63/634, 679/731?

Answer: GCF of Numerators as per given numbers 30/252, 63/634, 679/731 is

GCF of Numerators i.e. for 30,63,679 is 1

LCM of denominators i.e. for 252,634,731 is 58395204.

Thus, GCF of Fractions is 1/58395204.Finally, GCF of Fractions for 30/252, 63/634, 679/731 is 1/58395204.