Greatest Common Factor of 650/72, 335/43, 638/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/72, 335/43, 638/417

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 650/72,335/43,638/417

Given fractions are 650/72,335/43,638/417

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 650,335,638

Greatest Common Factor of Numerators i.e. GCF of 650,335,638 is 1 .

LCM of Denominators means LCM of 72,43,417 as per the given fractions.

LCM of 72,43,417 is 430344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,335,638

GCF of Fractions 650/72,335/43,638/417 is 1/430344

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

Greatest Common Factor of 650,335,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,335,638 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 650,335,638 . The biggest common factor number is the GCF number.
So the greatest common factor 650,335,638 is 1.

Lets's calculate LCM of 72,43,417

3 72, 43, 417
24, 43, 139

∴ So the LCM of the given numbers is 3 x 24 x 43 x 139 = 430344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430344

Therefore, the GCF of Fractions 650/72,335/43,638/417 is 1/430344

Least Common Multiple of 72,43,417 with GCF Formula

Least Common Multiple of 72,43,417 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 72,43,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,43,417) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,43,417) x common factors =1 x 3 = 3

LCM(72,43,417) = ( 72 × 43 × 417 ) / 3

LCM(72,43,417) = 1291032 / 3

LCM(72,43,417) = 430344


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 650/72, 335/43, 638/417

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 650/72, 335/43, 638/417?

Answer: GCF of Numerators as per given numbers 650/72, 335/43, 638/417 is

GCF of Numerators i.e. for 650,335,638 is 1

LCM of denominators i.e. for 72,43,417 is 430344.

Thus, GCF of Fractions is 1/430344.Finally, GCF of Fractions for 650/72, 335/43, 638/417 is 1/430344.