Greatest Common Factor of 107/77, 728/7291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/77, 728/7291

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 107/77,728/7291

Given fractions are 107/77,728/7291

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 107,728

Greatest Common Factor of Numerators i.e. GCF of 107,728 is 1 .

LCM of Denominators means LCM of 77,7291 as per the given fractions.

LCM of 77,7291 is 561407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,728

GCF of Fractions 107/77,728/7291 is 1/561407

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

Greatest Common Factor of 107,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,728 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 107,728 . The biggest common factor number is the GCF number.
So the greatest common factor 107,728 is 1.

Lets's calculate LCM of 77,7291

Given numbers has no common factors except 1. So, there LCM is their product i.e 561407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561407

Therefore, the GCF of Fractions 107/77,728/7291 is 1/561407

Least Common Multiple of 77,7291 with GCF Formula

Least Common Multiple of 77,7291 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 77,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,7291) = 1

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

GCF(77,7291) x common factors =1 x 1 = 1

LCM(77,7291) = ( 77 × 7291 ) / 1

LCM(77,7291) = 561407 / 1

LCM(77,7291) = 561407


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 107/77, 728/7291

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 107/77, 728/7291?

Answer: GCF of Numerators as per given numbers 107/77, 728/7291 is

GCF of Numerators i.e. for 107,728 is 1

LCM of denominators i.e. for 77,7291 is 561407.

Thus, GCF of Fractions is 1/561407.Finally, GCF of Fractions for 107/77, 728/7291 is 1/561407.