Greatest Common Factor of 1/51, 50/46, 12/177, 311/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/51, 50/46, 12/177, 311/137

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 1/51,50/46,12/177,311/137

Given fractions are 1/51,50/46,12/177,311/137

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 1,50,12,311

Greatest Common Factor of Numerators i.e. GCF of 1,50,12,311 is 1 .

LCM of Denominators means LCM of 51,46,177,137 as per the given fractions.

LCM of 51,46,177,137 is 18962718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,50,12,311

GCF of Fractions 1/51,50/46,12/177,311/137 is 1/18962718

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

Greatest Common Factor of 1,50,12,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,50,12,311 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 1,50,12,311 . The biggest common factor number is the GCF number.
So the greatest common factor 1,50,12,311 is 1.

Lets's calculate LCM of 51,46,177,137

3 51, 46, 177, 137
17, 46, 59, 137

∴ So the LCM of the given numbers is 3 x 17 x 46 x 59 x 137 = 18962718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18962718

Therefore, the GCF of Fractions 1/51,50/46,12/177,311/137 is 1/18962718

Least Common Multiple of 51,46,177,137 with GCF Formula

Least Common Multiple of 51,46,177,137 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 51,46,177,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,46,177,137) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,46,177,137) x common factors =1 x 3 = 3

LCM(51,46,177,137) = ( 51 × 46 × 177 × 137 ) / 3

LCM(51,46,177,137) = 56888154 / 3

LCM(51,46,177,137) = 18962718


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 1/51, 50/46, 12/177, 311/137

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 1/51, 50/46, 12/177, 311/137?

Answer: GCF of Numerators as per given numbers 1/51, 50/46, 12/177, 311/137 is

GCF of Numerators i.e. for 1,50,12,311 is 1

LCM of denominators i.e. for 51,46,177,137 is 18962718.

Thus, GCF of Fractions is 1/18962718.Finally, GCF of Fractions for 1/51, 50/46, 12/177, 311/137 is 1/18962718.