Greatest Common Factor of 681/29, 779/37, 367/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/29, 779/37, 367/928

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 681/29,779/37,367/928

Given fractions are 681/29,779/37,367/928

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 681,779,367

Greatest Common Factor of Numerators i.e. GCF of 681,779,367 is 1 .

LCM of Denominators means LCM of 29,37,928 as per the given fractions.

LCM of 29,37,928 is 34336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,779,367

GCF of Fractions 681/29,779/37,367/928 is 1/34336

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

Greatest Common Factor of 681,779,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,779,367 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 681,779,367 . The biggest common factor number is the GCF number.
So the greatest common factor 681,779,367 is 1.

Lets's calculate LCM of 29,37,928

29 29, 37, 928
1, 37, 32

∴ So the LCM of the given numbers is 29 x 1 x 37 x 32 = 34336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34336

Therefore, the GCF of Fractions 681/29,779/37,367/928 is 1/34336

Least Common Multiple of 29,37,928 with GCF Formula

Least Common Multiple of 29,37,928 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 29,37,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,37,928) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,37,928) x common factors =1 x 29 = 29

LCM(29,37,928) = ( 29 × 37 × 928 ) / 29

LCM(29,37,928) = 995744 / 29

LCM(29,37,928) = 34336


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 681/29, 779/37, 367/928

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 681/29, 779/37, 367/928?

Answer: GCF of Numerators as per given numbers 681/29, 779/37, 367/928 is

GCF of Numerators i.e. for 681,779,367 is 1

LCM of denominators i.e. for 29,37,928 is 34336.

Thus, GCF of Fractions is 1/34336.Finally, GCF of Fractions for 681/29, 779/37, 367/928 is 1/34336.