Greatest Common Factor of 6017/467, 5995/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6017/467, 5995/148

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 6017/467,5995/148

Given fractions are 6017/467,5995/148

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 6017,5995

Greatest Common Factor of Numerators i.e. GCF of 6017,5995 is 11 .

LCM of Denominators means LCM of 467,148 as per the given fractions.

LCM of 467,148 is 69116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6017,5995

GCF of Fractions 6017/467,5995/148 is 11/69116

11 6017, 5995
547, 545

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6017,5995 By Matching Biggest Common Factor Method

Greatest Common Factor of 6017,5995 By Matching Biggest Common Factor Method

Factors of 6017

List of positive integer factors of 6017 that divides 6017 without a remainder.

1,11,547,6017

Factors of 5995

List of positive integer factors of 5995 that divides 5995 without a remainder.

1,5,11,55,109,545,1199,5995

Greatest Common Factor

We found the factors 6017,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,5995 is 11.

Lets's calculate LCM of 467,148

Given numbers has no common factors except 1. So, there LCM is their product i.e 69116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/69116

Therefore, the GCF of Fractions 6017/467,5995/148 is 11/69116

Least Common Multiple of 467,148 with GCF Formula

Least Common Multiple of 467,148 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 467,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,148) = 1

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

GCF(467,148) x common factors =1 x 1 = 1

LCM(467,148) = ( 467 × 148 ) / 1

LCM(467,148) = 69116 / 1

LCM(467,148) = 69116


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 6017/467, 5995/148

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 6017/467, 5995/148?

Answer: GCF of Numerators as per given numbers 6017/467, 5995/148 is

GCF of Numerators i.e. for 6017,5995 is 11

LCM of denominators i.e. for 467,148 is 69116.

Thus, GCF of Fractions is 11/69116.Finally, GCF of Fractions for 6017/467, 5995/148 is 11/69116.