Greatest Common Factor of 75/413, 64/639, 211/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/413, 64/639, 211/735

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 75/413,64/639,211/735

Given fractions are 75/413,64/639,211/735

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 75,64,211

Greatest Common Factor of Numerators i.e. GCF of 75,64,211 is 1 .

LCM of Denominators means LCM of 413,639,735 as per the given fractions.

LCM of 413,639,735 is 9236745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,64,211

GCF of Fractions 75/413,64/639,211/735 is 1/9236745

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

Greatest Common Factor of 75,64,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,64,211 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 75,64,211 . The biggest common factor number is the GCF number.
So the greatest common factor 75,64,211 is 1.

Lets's calculate LCM of 413,639,735

3 413, 639, 735
7 413, 213, 245
59, 213, 35

∴ So the LCM of the given numbers is 3 x 7 x 59 x 213 x 35 = 9236745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9236745

Therefore, the GCF of Fractions 75/413,64/639,211/735 is 1/9236745

Least Common Multiple of 413,639,735 with GCF Formula

Least Common Multiple of 413,639,735 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 413,639,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,639,735) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(413,639,735) x common factors =1 x 21 = 21

LCM(413,639,735) = ( 413 × 639 × 735 ) / 21

LCM(413,639,735) = 193971645 / 21

LCM(413,639,735) = 9236745


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 75/413, 64/639, 211/735

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 75/413, 64/639, 211/735?

Answer: GCF of Numerators as per given numbers 75/413, 64/639, 211/735 is

GCF of Numerators i.e. for 75,64,211 is 1

LCM of denominators i.e. for 413,639,735 is 9236745.

Thus, GCF of Fractions is 1/9236745.Finally, GCF of Fractions for 75/413, 64/639, 211/735 is 1/9236745.