Greatest Common Factor of 64/534, 85/623, 747/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/534, 85/623, 747/590

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 64/534,85/623,747/590

Given fractions are 64/534,85/623,747/590

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 64,85,747

Greatest Common Factor of Numerators i.e. GCF of 64,85,747 is 1 .

LCM of Denominators means LCM of 534,623,590 as per the given fractions.

LCM of 534,623,590 is 1102710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,85,747

GCF of Fractions 64/534,85/623,747/590 is 1/1102710

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

Greatest Common Factor of 64,85,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,85,747 By Matching Biggest Common Factor Method

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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 64,85,747 . The biggest common factor number is the GCF number.
So the greatest common factor 64,85,747 is 1.

Lets's calculate LCM of 534,623,590

2 534, 623, 590
89 267, 623, 295
3, 7, 295

∴ So the LCM of the given numbers is 2 x 89 x 3 x 7 x 295 = 1102710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1102710

Therefore, the GCF of Fractions 64/534,85/623,747/590 is 1/1102710

Least Common Multiple of 534,623,590 with GCF Formula

Least Common Multiple of 534,623,590 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 534,623,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,623,590) = 1

common factors(in case of two or more numbers have common factors) = 178

GCF(534,623,590) x common factors =1 x 178 = 178

LCM(534,623,590) = ( 534 × 623 × 590 ) / 178

LCM(534,623,590) = 196282380 / 178

LCM(534,623,590) = 1102710


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 64/534, 85/623, 747/590

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 64/534, 85/623, 747/590?

Answer: GCF of Numerators as per given numbers 64/534, 85/623, 747/590 is

GCF of Numerators i.e. for 64,85,747 is 1

LCM of denominators i.e. for 534,623,590 is 1102710.

Thus, GCF of Fractions is 1/1102710.Finally, GCF of Fractions for 64/534, 85/623, 747/590 is 1/1102710.