Greatest Common Factor of 65/64, 942/67, 393/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/64, 942/67, 393/928

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 65/64,942/67,393/928

Given fractions are 65/64,942/67,393/928

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 65,942,393

Greatest Common Factor of Numerators i.e. GCF of 65,942,393 is 1 .

LCM of Denominators means LCM of 64,67,928 as per the given fractions.

LCM of 64,67,928 is 124352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,942,393

GCF of Fractions 65/64,942/67,393/928 is 1/124352

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

Greatest Common Factor of 65,942,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,942,393 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

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 65,942,393 . The biggest common factor number is the GCF number.
So the greatest common factor 65,942,393 is 1.

Lets's calculate LCM of 64,67,928

2 64, 67, 928
2 32, 67, 464
2 16, 67, 232
2 8, 67, 116
2 4, 67, 58
2, 67, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 67 x 29 = 124352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124352

Therefore, the GCF of Fractions 65/64,942/67,393/928 is 1/124352

Least Common Multiple of 64,67,928 with GCF Formula

Least Common Multiple of 64,67,928 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 64,67,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,67,928) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(64,67,928) x common factors =1 x 32 = 32

LCM(64,67,928) = ( 64 × 67 × 928 ) / 32

LCM(64,67,928) = 3979264 / 32

LCM(64,67,928) = 124352


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 65/64, 942/67, 393/928

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 65/64, 942/67, 393/928?

Answer: GCF of Numerators as per given numbers 65/64, 942/67, 393/928 is

GCF of Numerators i.e. for 65,942,393 is 1

LCM of denominators i.e. for 64,67,928 is 124352.

Thus, GCF of Fractions is 1/124352.Finally, GCF of Fractions for 65/64, 942/67, 393/928 is 1/124352.