Greatest Common Factor of 564/30, 304/71, 992/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/30, 304/71, 992/24

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 564/30,304/71,992/24

Given fractions are 564/30,304/71,992/24

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 564,304,992

Greatest Common Factor of Numerators i.e. GCF of 564,304,992 is 4 .

LCM of Denominators means LCM of 30,71,24 as per the given fractions.

LCM of 30,71,24 is 8520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,304,992

GCF of Fractions 564/30,304/71,992/24 is 4/8520

2 564, 304, 992
2 282, 152, 496
141, 76, 248

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 564,304,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,304,992 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 564,304,992 . The biggest common factor number is the GCF number.
So the greatest common factor 564,304,992 is 4.

Lets's calculate LCM of 30,71,24

2 30, 71, 24
3 15, 71, 12
5, 71, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 71 x 4 = 8520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8520

Therefore, the GCF of Fractions 564/30,304/71,992/24 is 4/8520

Least Common Multiple of 30,71,24 with GCF Formula

Least Common Multiple of 30,71,24 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 30,71,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,71,24) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,71,24) x common factors =1 x 6 = 6

LCM(30,71,24) = ( 30 × 71 × 24 ) / 6

LCM(30,71,24) = 51120 / 6

LCM(30,71,24) = 8520


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 564/30, 304/71, 992/24

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 564/30, 304/71, 992/24?

Answer: GCF of Numerators as per given numbers 564/30, 304/71, 992/24 is

GCF of Numerators i.e. for 564,304,992 is 4

LCM of denominators i.e. for 30,71,24 is 8520.

Thus, GCF of Fractions is 4/8520.Finally, GCF of Fractions for 564/30, 304/71, 992/24 is 4/8520.