Greatest Common Factor of 928/12, 464/88, 580/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/12, 464/88, 580/24

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 928/12,464/88,580/24

Given fractions are 928/12,464/88,580/24

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 928,464,580

Greatest Common Factor of Numerators i.e. GCF of 928,464,580 is 116 .

LCM of Denominators means LCM of 12,88,24 as per the given fractions.

LCM of 12,88,24 is 264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,464,580

GCF of Fractions 928/12,464/88,580/24 is 116/264

2 928, 464, 580
2 464, 232, 290
29 116, 232, 145
4, 8, 5

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 928,464,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,464,580 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 928,464,580 . The biggest common factor number is the GCF number.
So the greatest common factor 928,464,580 is 116.

Lets's calculate LCM of 12,88,24

2 12, 88, 24
2 6, 44, 12
2 3, 22, 6
3 3, 11, 3
1, 11, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 11 x 1 = 264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/264

Therefore, the GCF of Fractions 928/12,464/88,580/24 is 116/264

Least Common Multiple of 12,88,24 with GCF Formula

Least Common Multiple of 12,88,24 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 12,88,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,88,24) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(12,88,24) x common factors =4 x 24 = 96

LCM(12,88,24) = ( 12 × 88 × 24 ) / 96

LCM(12,88,24) = 25344 / 96

LCM(12,88,24) = 264


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 928/12, 464/88, 580/24

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 928/12, 464/88, 580/24?

Answer: GCF of Numerators as per given numbers 928/12, 464/88, 580/24 is

GCF of Numerators i.e. for 928,464,580 is 116

LCM of denominators i.e. for 12,88,24 is 264.

Thus, GCF of Fractions is 116/264.Finally, GCF of Fractions for 928/12, 464/88, 580/24 is 116/264.