Greatest Common Factor of 281/793, 839/657, 926/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 281/793, 839/657, 926/783

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 281/793,839/657,926/783

Given fractions are 281/793,839/657,926/783

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 281,839,926

Greatest Common Factor of Numerators i.e. GCF of 281,839,926 is 1 .

LCM of Denominators means LCM of 793,657,783 as per the given fractions.

LCM of 793,657,783 is 45327087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 281,839,926

GCF of Fractions 281/793,839/657,926/783 is 1/45327087

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

Greatest Common Factor of 281,839,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,839,926 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 281,839,926 . The biggest common factor number is the GCF number.
So the greatest common factor 281,839,926 is 1.

Lets's calculate LCM of 793,657,783

3 793, 657, 783
3 793, 219, 261
793, 73, 87

∴ So the LCM of the given numbers is 3 x 3 x 793 x 73 x 87 = 45327087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45327087

Therefore, the GCF of Fractions 281/793,839/657,926/783 is 1/45327087

Least Common Multiple of 793,657,783 with GCF Formula

Least Common Multiple of 793,657,783 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 793,657,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,657,783) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(793,657,783) x common factors =1 x 9 = 9

LCM(793,657,783) = ( 793 × 657 × 783 ) / 9

LCM(793,657,783) = 407943783 / 9

LCM(793,657,783) = 45327087


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 281/793, 839/657, 926/783

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 281/793, 839/657, 926/783?

Answer: GCF of Numerators as per given numbers 281/793, 839/657, 926/783 is

GCF of Numerators i.e. for 281,839,926 is 1

LCM of denominators i.e. for 793,657,783 is 45327087.

Thus, GCF of Fractions is 1/45327087.Finally, GCF of Fractions for 281/793, 839/657, 926/783 is 1/45327087.