Greatest Common Factor of 8126/275, 6995/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8126/275, 6995/290

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 8126/275,6995/290

Given fractions are 8126/275,6995/290

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 8126,6995

Greatest Common Factor of Numerators i.e. GCF of 8126,6995 is 1 .

LCM of Denominators means LCM of 275,290 as per the given fractions.

LCM of 275,290 is 15950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8126,6995

GCF of Fractions 8126/275,6995/290 is 1/15950

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

Greatest Common Factor of 8126,6995 By Matching Biggest Common Factor Method

Greatest Common Factor of 8126,6995 By Matching Biggest Common Factor Method

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Factors of 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1,5,1399,6995

Greatest Common Factor

We found the factors 8126,6995 . The biggest common factor number is the GCF number.
So the greatest common factor 8126,6995 is 1.

Lets's calculate LCM of 275,290

5 275, 290
55, 58

∴ So the LCM of the given numbers is 5 x 55 x 58 = 15950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15950

Therefore, the GCF of Fractions 8126/275,6995/290 is 1/15950

Least Common Multiple of 275,290 with GCF Formula

Least Common Multiple of 275,290 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 275,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,290) = 5

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

GCF(275,290) x common factors =5 x 1 = 5

LCM(275,290) = ( 275 × 290 ) / 5

LCM(275,290) = 79750 / 5

LCM(275,290) = 15950


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 8126/275, 6995/290

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 8126/275, 6995/290?

Answer: GCF of Numerators as per given numbers 8126/275, 6995/290 is

GCF of Numerators i.e. for 8126,6995 is 1

LCM of denominators i.e. for 275,290 is 15950.

Thus, GCF of Fractions is 1/15950.Finally, GCF of Fractions for 8126/275, 6995/290 is 1/15950.