Greatest Common Factor of 33/54, 64/615, 649/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/54, 64/615, 649/779

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 33/54,64/615,649/779

Given fractions are 33/54,64/615,649/779

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 33,64,649

Greatest Common Factor of Numerators i.e. GCF of 33,64,649 is 1 .

LCM of Denominators means LCM of 54,615,779 as per the given fractions.

LCM of 54,615,779 is 210330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,64,649

GCF of Fractions 33/54,64/615,649/779 is 1/210330

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

Greatest Common Factor of 33,64,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,64,649 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 33,64,649 . The biggest common factor number is the GCF number.
So the greatest common factor 33,64,649 is 1.

Lets's calculate LCM of 54,615,779

3 54, 615, 779
41 18, 205, 779
18, 5, 19

∴ So the LCM of the given numbers is 3 x 41 x 18 x 5 x 19 = 210330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210330

Therefore, the GCF of Fractions 33/54,64/615,649/779 is 1/210330

Least Common Multiple of 54,615,779 with GCF Formula

Least Common Multiple of 54,615,779 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 54,615,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,615,779) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(54,615,779) x common factors =1 x 123 = 123

LCM(54,615,779) = ( 54 × 615 × 779 ) / 123

LCM(54,615,779) = 25870590 / 123

LCM(54,615,779) = 210330


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 33/54, 64/615, 649/779

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 33/54, 64/615, 649/779?

Answer: GCF of Numerators as per given numbers 33/54, 64/615, 649/779 is

GCF of Numerators i.e. for 33,64,649 is 1

LCM of denominators i.e. for 54,615,779 is 210330.

Thus, GCF of Fractions is 1/210330.Finally, GCF of Fractions for 33/54, 64/615, 649/779 is 1/210330.