Greatest Common Factor of 512/68, 649/31, 244/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/68, 649/31, 244/64

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 512/68,649/31,244/64

Given fractions are 512/68,649/31,244/64

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 512,649,244

Greatest Common Factor of Numerators i.e. GCF of 512,649,244 is 1 .

LCM of Denominators means LCM of 68,31,64 as per the given fractions.

LCM of 68,31,64 is 33728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,649,244

GCF of Fractions 512/68,649/31,244/64 is 1/33728

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

Greatest Common Factor of 512,649,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,649,244 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 649

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

1,11,59,649

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 512,649,244 . The biggest common factor number is the GCF number.
So the greatest common factor 512,649,244 is 1.

Lets's calculate LCM of 68,31,64

2 68, 31, 64
2 34, 31, 32
17, 31, 16

∴ So the LCM of the given numbers is 2 x 2 x 17 x 31 x 16 = 33728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33728

Therefore, the GCF of Fractions 512/68,649/31,244/64 is 1/33728

Least Common Multiple of 68,31,64 with GCF Formula

Least Common Multiple of 68,31,64 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 68,31,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,31,64) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,31,64) x common factors =1 x 4 = 4

LCM(68,31,64) = ( 68 × 31 × 64 ) / 4

LCM(68,31,64) = 134912 / 4

LCM(68,31,64) = 33728


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 512/68, 649/31, 244/64

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 512/68, 649/31, 244/64?

Answer: GCF of Numerators as per given numbers 512/68, 649/31, 244/64 is

GCF of Numerators i.e. for 512,649,244 is 1

LCM of denominators i.e. for 68,31,64 is 33728.

Thus, GCF of Fractions is 1/33728.Finally, GCF of Fractions for 512/68, 649/31, 244/64 is 1/33728.