Greatest Common Factor of 353/46, 149/40, 607/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/46, 149/40, 607/16

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 353/46,149/40,607/16

Given fractions are 353/46,149/40,607/16

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 353,149,607

Greatest Common Factor of Numerators i.e. GCF of 353,149,607 is 1 .

LCM of Denominators means LCM of 46,40,16 as per the given fractions.

LCM of 46,40,16 is 1840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,149,607

GCF of Fractions 353/46,149/40,607/16 is 1/1840

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

Greatest Common Factor of 353,149,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,149,607 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

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 353,149,607 . The biggest common factor number is the GCF number.
So the greatest common factor 353,149,607 is 1.

Lets's calculate LCM of 46,40,16

2 46, 40, 16
2 23, 20, 8
2 23, 10, 4
23, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 5 x 2 = 1840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1840

Therefore, the GCF of Fractions 353/46,149/40,607/16 is 1/1840

Least Common Multiple of 46,40,16 with GCF Formula

Least Common Multiple of 46,40,16 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 46,40,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,40,16) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(46,40,16) x common factors =2 x 8 = 16

LCM(46,40,16) = ( 46 × 40 × 16 ) / 16

LCM(46,40,16) = 29440 / 16

LCM(46,40,16) = 1840


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 353/46, 149/40, 607/16

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 353/46, 149/40, 607/16?

Answer: GCF of Numerators as per given numbers 353/46, 149/40, 607/16 is

GCF of Numerators i.e. for 353,149,607 is 1

LCM of denominators i.e. for 46,40,16 is 1840.

Thus, GCF of Fractions is 1/1840.Finally, GCF of Fractions for 353/46, 149/40, 607/16 is 1/1840.