Greatest Common Factor of 384/91, 294/65, 563/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/91, 294/65, 563/420

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 384/91,294/65,563/420

Given fractions are 384/91,294/65,563/420

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 384,294,563

Greatest Common Factor of Numerators i.e. GCF of 384,294,563 is 1 .

LCM of Denominators means LCM of 91,65,420 as per the given fractions.

LCM of 91,65,420 is 5460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,294,563

GCF of Fractions 384/91,294/65,563/420 is 1/5460

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

Greatest Common Factor of 384,294,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,294,563 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 384,294,563 . The biggest common factor number is the GCF number.
So the greatest common factor 384,294,563 is 1.

Lets's calculate LCM of 91,65,420

5 91, 65, 420
7 91, 13, 84
13 13, 13, 12
1, 1, 12

∴ So the LCM of the given numbers is 5 x 7 x 13 x 1 x 1 x 12 = 5460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5460

Therefore, the GCF of Fractions 384/91,294/65,563/420 is 1/5460

Least Common Multiple of 91,65,420 with GCF Formula

Least Common Multiple of 91,65,420 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 91,65,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,65,420) = 1

common factors(in case of two or more numbers have common factors) = 455

GCF(91,65,420) x common factors =1 x 455 = 455

LCM(91,65,420) = ( 91 × 65 × 420 ) / 455

LCM(91,65,420) = 2484300 / 455

LCM(91,65,420) = 5460


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 384/91, 294/65, 563/420

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 384/91, 294/65, 563/420?

Answer: GCF of Numerators as per given numbers 384/91, 294/65, 563/420 is

GCF of Numerators i.e. for 384,294,563 is 1

LCM of denominators i.e. for 91,65,420 is 5460.

Thus, GCF of Fractions is 1/5460.Finally, GCF of Fractions for 384/91, 294/65, 563/420 is 1/5460.