Greatest Common Factor of 912/18, 142/40, 578/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 912/18, 142/40, 578/542

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 912/18,142/40,578/542

Given fractions are 912/18,142/40,578/542

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 912,142,578

Greatest Common Factor of Numerators i.e. GCF of 912,142,578 is 2 .

LCM of Denominators means LCM of 18,40,542 as per the given fractions.

LCM of 18,40,542 is 97560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 912,142,578

GCF of Fractions 912/18,142/40,578/542 is 2/97560

2 912, 142, 578
456, 71, 289

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

Greatest Common Factor of 912,142,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,142,578 By Matching Biggest Common Factor Method

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 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 912,142,578 . The biggest common factor number is the GCF number.
So the greatest common factor 912,142,578 is 2.

Lets's calculate LCM of 18,40,542

2 18, 40, 542
9, 20, 271

∴ So the LCM of the given numbers is 2 x 9 x 20 x 271 = 97560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97560

Therefore, the GCF of Fractions 912/18,142/40,578/542 is 2/97560

Least Common Multiple of 18,40,542 with GCF Formula

Least Common Multiple of 18,40,542 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 18,40,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,40,542) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(18,40,542) x common factors =2 x 2 = 4

LCM(18,40,542) = ( 18 × 40 × 542 ) / 4

LCM(18,40,542) = 390240 / 4

LCM(18,40,542) = 97560


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 912/18, 142/40, 578/542

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 912/18, 142/40, 578/542?

Answer: GCF of Numerators as per given numbers 912/18, 142/40, 578/542 is

GCF of Numerators i.e. for 912,142,578 is 2

LCM of denominators i.e. for 18,40,542 is 97560.

Thus, GCF of Fractions is 2/97560.Finally, GCF of Fractions for 912/18, 142/40, 578/542 is 2/97560.