Greatest Common Factor of 30/327, 970/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/327, 970/757

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 30/327,970/757

Given fractions are 30/327,970/757

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 30,970

Greatest Common Factor of Numerators i.e. GCF of 30,970 is 10 .

LCM of Denominators means LCM of 327,757 as per the given fractions.

LCM of 327,757 is 247539 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,970

GCF of Fractions 30/327,970/757 is 10/247539

2 30, 970
5 15, 485
3, 97

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 30,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,970 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 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 30,970 . The biggest common factor number is the GCF number.
So the greatest common factor 30,970 is 10.

Lets's calculate LCM of 327,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 247539

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/247539

Therefore, the GCF of Fractions 30/327,970/757 is 10/247539

Least Common Multiple of 327,757 with GCF Formula

Least Common Multiple of 327,757 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 327,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,757) = 1

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

GCF(327,757) x common factors =1 x 1 = 1

LCM(327,757) = ( 327 × 757 ) / 1

LCM(327,757) = 247539 / 1

LCM(327,757) = 247539


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 30/327, 970/757

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 30/327, 970/757?

Answer: GCF of Numerators as per given numbers 30/327, 970/757 is

GCF of Numerators i.e. for 30,970 is 10

LCM of denominators i.e. for 327,757 is 247539.

Thus, GCF of Fractions is 10/247539.Finally, GCF of Fractions for 30/327, 970/757 is 10/247539.