Greatest Common Factor of 6/81, 32/40, 62/304, 250/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/81, 32/40, 62/304, 250/455

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 6/81,32/40,62/304,250/455

Given fractions are 6/81,32/40,62/304,250/455

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 6,32,62,250

Greatest Common Factor of Numerators i.e. GCF of 6,32,62,250 is 2 .

LCM of Denominators means LCM of 81,40,304,455 as per the given fractions.

LCM of 81,40,304,455 is 11203920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,32,62,250

GCF of Fractions 6/81,32/40,62/304,250/455 is 2/11203920

2 6, 32, 62, 250
3, 16, 31, 125

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,32,62,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,32,62,250 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 6,32,62,250 . The biggest common factor number is the GCF number.
So the greatest common factor 6,32,62,250 is 2.

Lets's calculate LCM of 81,40,304,455

2 81, 40, 304, 455
2 81, 20, 152, 455
2 81, 10, 76, 455
5 81, 5, 38, 455
81, 1, 38, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 81 x 1 x 38 x 91 = 11203920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11203920

Therefore, the GCF of Fractions 6/81,32/40,62/304,250/455 is 2/11203920

Least Common Multiple of 81,40,304,455 with GCF Formula

Least Common Multiple of 81,40,304,455 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 81,40,304,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,40,304,455) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(81,40,304,455) x common factors =1 x 40 = 40

LCM(81,40,304,455) = ( 81 × 40 × 304 × 455 ) / 40

LCM(81,40,304,455) = 448156800 / 40

LCM(81,40,304,455) = 11203920


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 6/81, 32/40, 62/304, 250/455

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 6/81, 32/40, 62/304, 250/455?

Answer: GCF of Numerators as per given numbers 6/81, 32/40, 62/304, 250/455 is

GCF of Numerators i.e. for 6,32,62,250 is 2

LCM of denominators i.e. for 81,40,304,455 is 11203920.

Thus, GCF of Fractions is 2/11203920.Finally, GCF of Fractions for 6/81, 32/40, 62/304, 250/455 is 2/11203920.