Greatest Common Factor of 6/23, 70/65, 53/378, 244/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/23, 70/65, 53/378, 244/985

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 6/23,70/65,53/378,244/985

Given fractions are 6/23,70/65,53/378,244/985

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 6,70,53,244

Greatest Common Factor of Numerators i.e. GCF of 6,70,53,244 is 1 .

LCM of Denominators means LCM of 23,65,378,985 as per the given fractions.

LCM of 23,65,378,985 is 111326670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,70,53,244

GCF of Fractions 6/23,70/65,53/378,244/985 is 1/111326670

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

Greatest Common Factor of 6,70,53,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,70,53,244 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 53

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

1,53

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 6,70,53,244 . The biggest common factor number is the GCF number.
So the greatest common factor 6,70,53,244 is 1.

Lets's calculate LCM of 23,65,378,985

5 23, 65, 378, 985
23, 13, 378, 197

∴ So the LCM of the given numbers is 5 x 23 x 13 x 378 x 197 = 111326670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111326670

Therefore, the GCF of Fractions 6/23,70/65,53/378,244/985 is 1/111326670

Least Common Multiple of 23,65,378,985 with GCF Formula

Least Common Multiple of 23,65,378,985 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 23,65,378,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,65,378,985) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(23,65,378,985) x common factors =1 x 5 = 5

LCM(23,65,378,985) = ( 23 × 65 × 378 × 985 ) / 5

LCM(23,65,378,985) = 556633350 / 5

LCM(23,65,378,985) = 111326670


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 6/23, 70/65, 53/378, 244/985

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 6/23, 70/65, 53/378, 244/985?

Answer: GCF of Numerators as per given numbers 6/23, 70/65, 53/378, 244/985 is

GCF of Numerators i.e. for 6,70,53,244 is 1

LCM of denominators i.e. for 23,65,378,985 is 111326670.

Thus, GCF of Fractions is 1/111326670.Finally, GCF of Fractions for 6/23, 70/65, 53/378, 244/985 is 1/111326670.