Greatest Common Factor of 137/51, 8305/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 137/51, 8305/458

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 137/51,8305/458

Given fractions are 137/51,8305/458

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 137,8305

Greatest Common Factor of Numerators i.e. GCF of 137,8305 is 1 .

LCM of Denominators means LCM of 51,458 as per the given fractions.

LCM of 51,458 is 23358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 137,8305

GCF of Fractions 137/51,8305/458 is 1/23358

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

Greatest Common Factor of 137,8305 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,8305 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1,5,11,55,151,755,1661,8305

Greatest Common Factor

We found the factors 137,8305 . The biggest common factor number is the GCF number.
So the greatest common factor 137,8305 is 1.

Lets's calculate LCM of 51,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 23358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23358

Therefore, the GCF of Fractions 137/51,8305/458 is 1/23358

Least Common Multiple of 51,458 with GCF Formula

Least Common Multiple of 51,458 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 51,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,458) = 1

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

GCF(51,458) x common factors =1 x 1 = 1

LCM(51,458) = ( 51 × 458 ) / 1

LCM(51,458) = 23358 / 1

LCM(51,458) = 23358


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 137/51, 8305/458

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 137/51, 8305/458?

Answer: GCF of Numerators as per given numbers 137/51, 8305/458 is

GCF of Numerators i.e. for 137,8305 is 1

LCM of denominators i.e. for 51,458 is 23358.

Thus, GCF of Fractions is 1/23358.Finally, GCF of Fractions for 137/51, 8305/458 is 1/23358.