Greatest Common Factor of 984/84, 494/16, 225/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 984/84, 494/16, 225/542

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 984/84,494/16,225/542

Given fractions are 984/84,494/16,225/542

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 984,494,225

Greatest Common Factor of Numerators i.e. GCF of 984,494,225 is 1 .

LCM of Denominators means LCM of 84,16,542 as per the given fractions.

LCM of 84,16,542 is 91056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 984,494,225

GCF of Fractions 984/84,494/16,225/542 is 1/91056

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 984,494,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,494,225 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 984,494,225 . The biggest common factor number is the GCF number.
So the greatest common factor 984,494,225 is 1.

Lets's calculate LCM of 84,16,542

2 84, 16, 542
2 42, 8, 271
21, 4, 271

∴ So the LCM of the given numbers is 2 x 2 x 21 x 4 x 271 = 91056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91056

Therefore, the GCF of Fractions 984/84,494/16,225/542 is 1/91056

Least Common Multiple of 84,16,542 with GCF Formula

Least Common Multiple of 84,16,542 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 84,16,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,16,542) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(84,16,542) x common factors =2 x 4 = 8

LCM(84,16,542) = ( 84 × 16 × 542 ) / 8

LCM(84,16,542) = 728448 / 8

LCM(84,16,542) = 91056


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 984/84, 494/16, 225/542

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 984/84, 494/16, 225/542?

Answer: GCF of Numerators as per given numbers 984/84, 494/16, 225/542 is

GCF of Numerators i.e. for 984,494,225 is 1

LCM of denominators i.e. for 84,16,542 is 91056.

Thus, GCF of Fractions is 1/91056.Finally, GCF of Fractions for 984/84, 494/16, 225/542 is 1/91056.