Greatest Common Factor of 518/12, 912/45, 564/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 518/12, 912/45, 564/10

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 518/12,912/45,564/10

Given fractions are 518/12,912/45,564/10

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 518,912,564

Greatest Common Factor of Numerators i.e. GCF of 518,912,564 is 2 .

LCM of Denominators means LCM of 12,45,10 as per the given fractions.

LCM of 12,45,10 is 180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,912,564

GCF of Fractions 518/12,912/45,564/10 is 2/180

2 518, 912, 564
259, 456, 282

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

Greatest Common Factor of 518,912,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,912,564 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

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

Greatest Common Factor

We found the factors 518,912,564 . The biggest common factor number is the GCF number.
So the greatest common factor 518,912,564 is 2.

Lets's calculate LCM of 12,45,10

2 12, 45, 10
3 6, 45, 5
5 2, 15, 5
2, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 3 x 1 = 180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180

Therefore, the GCF of Fractions 518/12,912/45,564/10 is 2/180

Least Common Multiple of 12,45,10 with GCF Formula

Least Common Multiple of 12,45,10 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 12,45,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,45,10) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(12,45,10) x common factors =1 x 30 = 30

LCM(12,45,10) = ( 12 × 45 × 10 ) / 30

LCM(12,45,10) = 5400 / 30

LCM(12,45,10) = 180


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 518/12, 912/45, 564/10

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 518/12, 912/45, 564/10?

Answer: GCF of Numerators as per given numbers 518/12, 912/45, 564/10 is

GCF of Numerators i.e. for 518,912,564 is 2

LCM of denominators i.e. for 12,45,10 is 180.

Thus, GCF of Fractions is 2/180.Finally, GCF of Fractions for 518/12, 912/45, 564/10 is 2/180.