Greatest Common Factor of 64/25, 76/89, 393/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/25, 76/89, 393/312

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 64/25,76/89,393/312

Given fractions are 64/25,76/89,393/312

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 64,76,393

Greatest Common Factor of Numerators i.e. GCF of 64,76,393 is 1 .

LCM of Denominators means LCM of 25,89,312 as per the given fractions.

LCM of 25,89,312 is 694200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,76,393

GCF of Fractions 64/25,76/89,393/312 is 1/694200

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

Greatest Common Factor of 64,76,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,76,393 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 64,76,393 . The biggest common factor number is the GCF number.
So the greatest common factor 64,76,393 is 1.

Lets's calculate LCM of 25,89,312

Given numbers has no common factors except 1. So, there LCM is their product i.e 694200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694200

Therefore, the GCF of Fractions 64/25,76/89,393/312 is 1/694200

Least Common Multiple of 25,89,312 with GCF Formula

Least Common Multiple of 25,89,312 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 25,89,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,89,312) = 1

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

GCF(25,89,312) x common factors =1 x 1 = 1

LCM(25,89,312) = ( 25 × 89 × 312 ) / 1

LCM(25,89,312) = 694200 / 1

LCM(25,89,312) = 694200


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 64/25, 76/89, 393/312

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 64/25, 76/89, 393/312?

Answer: GCF of Numerators as per given numbers 64/25, 76/89, 393/312 is

GCF of Numerators i.e. for 64,76,393 is 1

LCM of denominators i.e. for 25,89,312 is 694200.

Thus, GCF of Fractions is 1/694200.Finally, GCF of Fractions for 64/25, 76/89, 393/312 is 1/694200.