Greatest Common Factor of 6/64, 22/85, 73/459, 475/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/64, 22/85, 73/459, 475/615

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 6/64,22/85,73/459,475/615

Given fractions are 6/64,22/85,73/459,475/615

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 6,22,73,475

Greatest Common Factor of Numerators i.e. GCF of 6,22,73,475 is 1 .

LCM of Denominators means LCM of 64,85,459,615 as per the given fractions.

LCM of 64,85,459,615 is 6022080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,22,73,475

GCF of Fractions 6/64,22/85,73/459,475/615 is 1/6022080

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

Greatest Common Factor of 6,22,73,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,22,73,475 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 6,22,73,475 . The biggest common factor number is the GCF number.
So the greatest common factor 6,22,73,475 is 1.

Lets's calculate LCM of 64,85,459,615

3 64, 85, 459, 615
5 64, 85, 153, 205
17 64, 17, 153, 41
64, 1, 9, 41

∴ So the LCM of the given numbers is 3 x 5 x 17 x 64 x 1 x 9 x 41 = 6022080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6022080

Therefore, the GCF of Fractions 6/64,22/85,73/459,475/615 is 1/6022080

Least Common Multiple of 64,85,459,615 with GCF Formula

Least Common Multiple of 64,85,459,615 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 64,85,459,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,85,459,615) = 1

common factors(in case of two or more numbers have common factors) = 255

GCF(64,85,459,615) x common factors =1 x 255 = 255

LCM(64,85,459,615) = ( 64 × 85 × 459 × 615 ) / 255

LCM(64,85,459,615) = 1535630400 / 255

LCM(64,85,459,615) = 6022080


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 6/64, 22/85, 73/459, 475/615

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 6/64, 22/85, 73/459, 475/615?

Answer: GCF of Numerators as per given numbers 6/64, 22/85, 73/459, 475/615 is

GCF of Numerators i.e. for 6,22,73,475 is 1

LCM of denominators i.e. for 64,85,459,615 is 6022080.

Thus, GCF of Fractions is 1/6022080.Finally, GCF of Fractions for 6/64, 22/85, 73/459, 475/615 is 1/6022080.