Greatest Common Factor of 385/755, 789/334, 755/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/755, 789/334, 755/564

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 385/755,789/334,755/564

Given fractions are 385/755,789/334,755/564

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 385,789,755

Greatest Common Factor of Numerators i.e. GCF of 385,789,755 is 1 .

LCM of Denominators means LCM of 755,334,564 as per the given fractions.

LCM of 755,334,564 is 71111940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,789,755

GCF of Fractions 385/755,789/334,755/564 is 1/71111940

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

Greatest Common Factor of 385,789,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,789,755 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 385,789,755 . The biggest common factor number is the GCF number.
So the greatest common factor 385,789,755 is 1.

Lets's calculate LCM of 755,334,564

2 755, 334, 564
755, 167, 282

∴ So the LCM of the given numbers is 2 x 755 x 167 x 282 = 71111940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71111940

Therefore, the GCF of Fractions 385/755,789/334,755/564 is 1/71111940

Least Common Multiple of 755,334,564 with GCF Formula

Least Common Multiple of 755,334,564 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 755,334,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,334,564) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(755,334,564) x common factors =1 x 2 = 2

LCM(755,334,564) = ( 755 × 334 × 564 ) / 2

LCM(755,334,564) = 142223880 / 2

LCM(755,334,564) = 71111940


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 385/755, 789/334, 755/564

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 385/755, 789/334, 755/564?

Answer: GCF of Numerators as per given numbers 385/755, 789/334, 755/564 is

GCF of Numerators i.e. for 385,789,755 is 1

LCM of denominators i.e. for 755,334,564 is 71111940.

Thus, GCF of Fractions is 1/71111940.Finally, GCF of Fractions for 385/755, 789/334, 755/564 is 1/71111940.