Greatest Common Factor of 2313/767, 2162/9283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2313/767, 2162/9283

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 2313/767,2162/9283

Given fractions are 2313/767,2162/9283

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 2313,2162

Greatest Common Factor of Numerators i.e. GCF of 2313,2162 is 1 .

LCM of Denominators means LCM of 767,9283 as per the given fractions.

LCM of 767,9283 is 7120061 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2313,2162

GCF of Fractions 2313/767,2162/9283 is 1/7120061

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

Greatest Common Factor of 2313,2162 By Matching Biggest Common Factor Method

Greatest Common Factor of 2313,2162 By Matching Biggest Common Factor Method

Factors of 2313

List of positive integer factors of 2313 that divides 2313 without a remainder.

1,3,9,257,771,2313

Factors of 2162

List of positive integer factors of 2162 that divides 2162 without a remainder.

1,2,23,46,47,94,1081,2162

Greatest Common Factor

We found the factors 2313,2162 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,2162 is 1.

Lets's calculate LCM of 767,9283

Given numbers has no common factors except 1. So, there LCM is their product i.e 7120061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7120061

Therefore, the GCF of Fractions 2313/767,2162/9283 is 1/7120061

Least Common Multiple of 767,9283 with GCF Formula

Least Common Multiple of 767,9283 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 767,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,9283) = 1

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

GCF(767,9283) x common factors =1 x 1 = 1

LCM(767,9283) = ( 767 × 9283 ) / 1

LCM(767,9283) = 7120061 / 1

LCM(767,9283) = 7120061


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 2313/767, 2162/9283

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 2313/767, 2162/9283?

Answer: GCF of Numerators as per given numbers 2313/767, 2162/9283 is

GCF of Numerators i.e. for 2313,2162 is 1

LCM of denominators i.e. for 767,9283 is 7120061.

Thus, GCF of Fractions is 1/7120061.Finally, GCF of Fractions for 2313/767, 2162/9283 is 1/7120061.