Greatest Common Factor of 611/594, 3016/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/594, 3016/928

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 611/594,3016/928

Given fractions are 611/594,3016/928

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 611,3016

Greatest Common Factor of Numerators i.e. GCF of 611,3016 is 13 .

LCM of Denominators means LCM of 594,928 as per the given fractions.

LCM of 594,928 is 275616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,3016

GCF of Fractions 611/594,3016/928 is 13/275616

13 611, 3016
47, 232

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 611,3016 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,3016 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 3016

List of positive integer factors of 3016 that divides 3016 without a remainder.

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Greatest Common Factor

We found the factors 611,3016 . The biggest common factor number is the GCF number.
So the greatest common factor 611,3016 is 13.

Lets's calculate LCM of 594,928

2 594, 928
297, 464

∴ So the LCM of the given numbers is 2 x 297 x 464 = 275616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/275616

Therefore, the GCF of Fractions 611/594,3016/928 is 13/275616

Least Common Multiple of 594,928 with GCF Formula

Least Common Multiple of 594,928 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 594,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,928) = 2

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

GCF(594,928) x common factors =2 x 1 = 2

LCM(594,928) = ( 594 × 928 ) / 2

LCM(594,928) = 551232 / 2

LCM(594,928) = 275616


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 611/594, 3016/928

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 611/594, 3016/928?

Answer: GCF of Numerators as per given numbers 611/594, 3016/928 is

GCF of Numerators i.e. for 611,3016 is 13

LCM of denominators i.e. for 594,928 is 275616.

Thus, GCF of Fractions is 13/275616.Finally, GCF of Fractions for 611/594, 3016/928 is 13/275616.