Greatest Common Factor of 779/82, 180/41, 675/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/82, 180/41, 675/415

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 779/82,180/41,675/415

Given fractions are 779/82,180/41,675/415

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 779,180,675

Greatest Common Factor of Numerators i.e. GCF of 779,180,675 is 1 .

LCM of Denominators means LCM of 82,41,415 as per the given fractions.

LCM of 82,41,415 is 34030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,180,675

GCF of Fractions 779/82,180/41,675/415 is 1/34030

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

Greatest Common Factor of 779,180,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,180,675 By Matching Biggest Common Factor Method

Factors of 779

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

1,19,41,779

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 779,180,675 . The biggest common factor number is the GCF number.
So the greatest common factor 779,180,675 is 1.

Lets's calculate LCM of 82,41,415

41 82, 41, 415
2, 1, 415

∴ So the LCM of the given numbers is 41 x 2 x 1 x 415 = 34030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34030

Therefore, the GCF of Fractions 779/82,180/41,675/415 is 1/34030

Least Common Multiple of 82,41,415 with GCF Formula

Least Common Multiple of 82,41,415 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 82,41,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,41,415) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(82,41,415) x common factors =1 x 41 = 41

LCM(82,41,415) = ( 82 × 41 × 415 ) / 41

LCM(82,41,415) = 1395230 / 41

LCM(82,41,415) = 34030


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 779/82, 180/41, 675/415

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 779/82, 180/41, 675/415?

Answer: GCF of Numerators as per given numbers 779/82, 180/41, 675/415 is

GCF of Numerators i.e. for 779,180,675 is 1

LCM of denominators i.e. for 82,41,415 is 34030.

Thus, GCF of Fractions is 1/34030.Finally, GCF of Fractions for 779/82, 180/41, 675/415 is 1/34030.