Greatest Common Factor of 21/46, 338/58, 607/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/46, 338/58, 607/406

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 21/46,338/58,607/406

Given fractions are 21/46,338/58,607/406

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 21,338,607

Greatest Common Factor of Numerators i.e. GCF of 21,338,607 is 1 .

LCM of Denominators means LCM of 46,58,406 as per the given fractions.

LCM of 46,58,406 is 9338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,338,607

GCF of Fractions 21/46,338/58,607/406 is 1/9338

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

Greatest Common Factor of 21,338,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,338,607 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 21,338,607 . The biggest common factor number is the GCF number.
So the greatest common factor 21,338,607 is 1.

Lets's calculate LCM of 46,58,406

2 46, 58, 406
29 23, 29, 203
23, 1, 7

∴ So the LCM of the given numbers is 2 x 29 x 23 x 1 x 7 = 9338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9338

Therefore, the GCF of Fractions 21/46,338/58,607/406 is 1/9338

Least Common Multiple of 46,58,406 with GCF Formula

Least Common Multiple of 46,58,406 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 46,58,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,58,406) = 2

common factors(in case of two or more numbers have common factors) = 58

GCF(46,58,406) x common factors =2 x 58 = 116

LCM(46,58,406) = ( 46 × 58 × 406 ) / 116

LCM(46,58,406) = 1083208 / 116

LCM(46,58,406) = 9338


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 21/46, 338/58, 607/406

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 21/46, 338/58, 607/406?

Answer: GCF of Numerators as per given numbers 21/46, 338/58, 607/406 is

GCF of Numerators i.e. for 21,338,607 is 1

LCM of denominators i.e. for 46,58,406 is 9338.

Thus, GCF of Fractions is 1/9338.Finally, GCF of Fractions for 21/46, 338/58, 607/406 is 1/9338.