Greatest Common Factor of 7162/814, 7037/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7162/814, 7037/269

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 7162/814,7037/269

Given fractions are 7162/814,7037/269

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 7162,7037

Greatest Common Factor of Numerators i.e. GCF of 7162,7037 is 1 .

LCM of Denominators means LCM of 814,269 as per the given fractions.

LCM of 814,269 is 218966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7162,7037

GCF of Fractions 7162/814,7037/269 is 1/218966

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

Greatest Common Factor of 7162,7037 By Matching Biggest Common Factor Method

Greatest Common Factor of 7162,7037 By Matching Biggest Common Factor Method

Factors of 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1,2,3581,7162

Factors of 7037

List of positive integer factors of 7037 that divides 7037 without a remainder.

1,31,227,7037

Greatest Common Factor

We found the factors 7162,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 7162,7037 is 1.

Lets's calculate LCM of 814,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 218966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218966

Therefore, the GCF of Fractions 7162/814,7037/269 is 1/218966

Least Common Multiple of 814,269 with GCF Formula

Least Common Multiple of 814,269 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 814,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,269) = 1

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

GCF(814,269) x common factors =1 x 1 = 1

LCM(814,269) = ( 814 × 269 ) / 1

LCM(814,269) = 218966 / 1

LCM(814,269) = 218966


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 7162/814, 7037/269

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 7162/814, 7037/269?

Answer: GCF of Numerators as per given numbers 7162/814, 7037/269 is

GCF of Numerators i.e. for 7162,7037 is 1

LCM of denominators i.e. for 814,269 is 218966.

Thus, GCF of Fractions is 1/218966.Finally, GCF of Fractions for 7162/814, 7037/269 is 1/218966.