Greatest Common Factor of 2287/72, 7790/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2287/72, 7790/707

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 2287/72,7790/707

Given fractions are 2287/72,7790/707

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 2287,7790

Greatest Common Factor of Numerators i.e. GCF of 2287,7790 is 1 .

LCM of Denominators means LCM of 72,707 as per the given fractions.

LCM of 72,707 is 50904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2287,7790

GCF of Fractions 2287/72,7790/707 is 1/50904

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

Greatest Common Factor of 2287,7790 By Matching Biggest Common Factor Method

Greatest Common Factor of 2287,7790 By Matching Biggest Common Factor Method

Factors of 2287

List of positive integer factors of 2287 that divides 2287 without a remainder.

1,2287

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Greatest Common Factor

We found the factors 2287,7790 . The biggest common factor number is the GCF number.
So the greatest common factor 2287,7790 is 1.

Lets's calculate LCM of 72,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 50904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50904

Therefore, the GCF of Fractions 2287/72,7790/707 is 1/50904

Least Common Multiple of 72,707 with GCF Formula

Least Common Multiple of 72,707 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 72,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,707) = 1

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

GCF(72,707) x common factors =1 x 1 = 1

LCM(72,707) = ( 72 × 707 ) / 1

LCM(72,707) = 50904 / 1

LCM(72,707) = 50904


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 2287/72, 7790/707

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 2287/72, 7790/707?

Answer: GCF of Numerators as per given numbers 2287/72, 7790/707 is

GCF of Numerators i.e. for 2287,7790 is 1

LCM of denominators i.e. for 72,707 is 50904.

Thus, GCF of Fractions is 1/50904.Finally, GCF of Fractions for 2287/72, 7790/707 is 1/50904.