Greatest Common Factor of 5563/28, 5994/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5563/28, 5994/342

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 5563/28,5994/342

Given fractions are 5563/28,5994/342

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 5563,5994

Greatest Common Factor of Numerators i.e. GCF of 5563,5994 is 1 .

LCM of Denominators means LCM of 28,342 as per the given fractions.

LCM of 28,342 is 4788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5563,5994

GCF of Fractions 5563/28,5994/342 is 1/4788

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

Greatest Common Factor of 5563,5994 By Matching Biggest Common Factor Method

Greatest Common Factor of 5563,5994 By Matching Biggest Common Factor Method

Factors of 5563

List of positive integer factors of 5563 that divides 5563 without a remainder.

1,5563

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994

Greatest Common Factor

We found the factors 5563,5994 . The biggest common factor number is the GCF number.
So the greatest common factor 5563,5994 is 1.

Lets's calculate LCM of 28,342

2 28, 342
14, 171

∴ So the LCM of the given numbers is 2 x 14 x 171 = 4788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4788

Therefore, the GCF of Fractions 5563/28,5994/342 is 1/4788

Least Common Multiple of 28,342 with GCF Formula

Least Common Multiple of 28,342 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 28,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,342) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(28,342) x common factors =2 x 1 = 2

LCM(28,342) = ( 28 × 342 ) / 2

LCM(28,342) = 9576 / 2

LCM(28,342) = 4788


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 5563/28, 5994/342

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 5563/28, 5994/342?

Answer: GCF of Numerators as per given numbers 5563/28, 5994/342 is

GCF of Numerators i.e. for 5563,5994 is 1

LCM of denominators i.e. for 28,342 is 4788.

Thus, GCF of Fractions is 1/4788.Finally, GCF of Fractions for 5563/28, 5994/342 is 1/4788.