Greatest Common Factor of 6017/652, 9694/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6017/652, 9694/474

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 6017/652,9694/474

Given fractions are 6017/652,9694/474

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 6017,9694

Greatest Common Factor of Numerators i.e. GCF of 6017,9694 is 1 .

LCM of Denominators means LCM of 652,474 as per the given fractions.

LCM of 652,474 is 154524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6017,9694

GCF of Fractions 6017/652,9694/474 is 1/154524

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

Greatest Common Factor of 6017,9694 By Matching Biggest Common Factor Method

Greatest Common Factor of 6017,9694 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 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1,2,37,74,131,262,4847,9694

Greatest Common Factor

We found the factors 6017,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,9694 is 1.

Lets's calculate LCM of 652,474

2 652, 474
326, 237

∴ So the LCM of the given numbers is 2 x 326 x 237 = 154524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154524

Therefore, the GCF of Fractions 6017/652,9694/474 is 1/154524

Least Common Multiple of 652,474 with GCF Formula

Least Common Multiple of 652,474 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 652,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,474) = 2

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

GCF(652,474) x common factors =2 x 1 = 2

LCM(652,474) = ( 652 × 474 ) / 2

LCM(652,474) = 309048 / 2

LCM(652,474) = 154524


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 6017/652, 9694/474

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 6017/652, 9694/474?

Answer: GCF of Numerators as per given numbers 6017/652, 9694/474 is

GCF of Numerators i.e. for 6017,9694 is 1

LCM of denominators i.e. for 652,474 is 154524.

Thus, GCF of Fractions is 1/154524.Finally, GCF of Fractions for 6017/652, 9694/474 is 1/154524.