Greatest Common Factor of 5254/51, 8265/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5254/51, 8265/154

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 5254/51,8265/154

Given fractions are 5254/51,8265/154

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 5254,8265

Greatest Common Factor of Numerators i.e. GCF of 5254,8265 is 1 .

LCM of Denominators means LCM of 51,154 as per the given fractions.

LCM of 51,154 is 7854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5254,8265

GCF of Fractions 5254/51,8265/154 is 1/7854

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

Greatest Common Factor of 5254,8265 By Matching Biggest Common Factor Method

Greatest Common Factor of 5254,8265 By Matching Biggest Common Factor Method

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1,2,37,71,74,142,2627,5254

Factors of 8265

List of positive integer factors of 8265 that divides 8265 without a remainder.

1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265

Greatest Common Factor

We found the factors 5254,8265 . The biggest common factor number is the GCF number.
So the greatest common factor 5254,8265 is 1.

Lets's calculate LCM of 51,154

Given numbers has no common factors except 1. So, there LCM is their product i.e 7854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7854

Therefore, the GCF of Fractions 5254/51,8265/154 is 1/7854

Least Common Multiple of 51,154 with GCF Formula

Least Common Multiple of 51,154 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 51,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,154) = 1

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

GCF(51,154) x common factors =1 x 1 = 1

LCM(51,154) = ( 51 × 154 ) / 1

LCM(51,154) = 7854 / 1

LCM(51,154) = 7854


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 5254/51, 8265/154

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 5254/51, 8265/154?

Answer: GCF of Numerators as per given numbers 5254/51, 8265/154 is

GCF of Numerators i.e. for 5254,8265 is 1

LCM of denominators i.e. for 51,154 is 7854.

Thus, GCF of Fractions is 1/7854.Finally, GCF of Fractions for 5254/51, 8265/154 is 1/7854.