Greatest Common Factor of 460/60, 349/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/60, 349/918

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 460/60,349/918

Given fractions are 460/60,349/918

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 460,349

Greatest Common Factor of Numerators i.e. GCF of 460,349 is 1 .

LCM of Denominators means LCM of 60,918 as per the given fractions.

LCM of 60,918 is 9180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,349

GCF of Fractions 460/60,349/918 is 1/9180

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

Greatest Common Factor of 460,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,349 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 460,349 . The biggest common factor number is the GCF number.
So the greatest common factor 460,349 is 1.

Lets's calculate LCM of 60,918

2 60, 918
3 30, 459
10, 153

∴ So the LCM of the given numbers is 2 x 3 x 10 x 153 = 9180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9180

Therefore, the GCF of Fractions 460/60,349/918 is 1/9180

Least Common Multiple of 60,918 with GCF Formula

Least Common Multiple of 60,918 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 60,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,918) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(60,918) x common factors =6 x 1 = 6

LCM(60,918) = ( 60 × 918 ) / 6

LCM(60,918) = 55080 / 6

LCM(60,918) = 9180


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 460/60, 349/918

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 460/60, 349/918?

Answer: GCF of Numerators as per given numbers 460/60, 349/918 is

GCF of Numerators i.e. for 460,349 is 1

LCM of denominators i.e. for 60,918 is 9180.

Thus, GCF of Fractions is 1/9180.Finally, GCF of Fractions for 460/60, 349/918 is 1/9180.