Greatest Common Factor of 71/85, 21/32, 468/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/85, 21/32, 468/405

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 71/85,21/32,468/405

Given fractions are 71/85,21/32,468/405

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 71,21,468

Greatest Common Factor of Numerators i.e. GCF of 71,21,468 is 1 .

LCM of Denominators means LCM of 85,32,405 as per the given fractions.

LCM of 85,32,405 is 220320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,21,468

GCF of Fractions 71/85,21/32,468/405 is 1/220320

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

Greatest Common Factor of 71,21,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,21,468 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 71,21,468 . The biggest common factor number is the GCF number.
So the greatest common factor 71,21,468 is 1.

Lets's calculate LCM of 85,32,405

5 85, 32, 405
17, 32, 81

∴ So the LCM of the given numbers is 5 x 17 x 32 x 81 = 220320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220320

Therefore, the GCF of Fractions 71/85,21/32,468/405 is 1/220320

Least Common Multiple of 85,32,405 with GCF Formula

Least Common Multiple of 85,32,405 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 85,32,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,32,405) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,32,405) x common factors =1 x 5 = 5

LCM(85,32,405) = ( 85 × 32 × 405 ) / 5

LCM(85,32,405) = 1101600 / 5

LCM(85,32,405) = 220320


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 71/85, 21/32, 468/405

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 71/85, 21/32, 468/405?

Answer: GCF of Numerators as per given numbers 71/85, 21/32, 468/405 is

GCF of Numerators i.e. for 71,21,468 is 1

LCM of denominators i.e. for 85,32,405 is 220320.

Thus, GCF of Fractions is 1/220320.Finally, GCF of Fractions for 71/85, 21/32, 468/405 is 1/220320.