Greatest Common Factor of 5661/798, 5173/5500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5661/798, 5173/5500

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 5661/798,5173/5500

Given fractions are 5661/798,5173/5500

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 5661,5173

Greatest Common Factor of Numerators i.e. GCF of 5661,5173 is 1 .

LCM of Denominators means LCM of 798,5500 as per the given fractions.

LCM of 798,5500 is 2194500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5661,5173

GCF of Fractions 5661/798,5173/5500 is 1/2194500

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

Greatest Common Factor of 5661,5173 By Matching Biggest Common Factor Method

Greatest Common Factor of 5661,5173 By Matching Biggest Common Factor Method

Factors of 5661

List of positive integer factors of 5661 that divides 5661 without a remainder.

1,3,9,17,37,51,111,153,333,629,1887,5661

Factors of 5173

List of positive integer factors of 5173 that divides 5173 without a remainder.

1,7,739,5173

Greatest Common Factor

We found the factors 5661,5173 . The biggest common factor number is the GCF number.
So the greatest common factor 5661,5173 is 1.

Lets's calculate LCM of 798,5500

2 798, 5500
399, 2750

∴ So the LCM of the given numbers is 2 x 399 x 2750 = 2194500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2194500

Therefore, the GCF of Fractions 5661/798,5173/5500 is 1/2194500

Least Common Multiple of 798,5500 with GCF Formula

Least Common Multiple of 798,5500 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 798,5500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,5500) = 2

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

GCF(798,5500) x common factors =2 x 1 = 2

LCM(798,5500) = ( 798 × 5500 ) / 2

LCM(798,5500) = 4389000 / 2

LCM(798,5500) = 2194500


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 5661/798, 5173/5500

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 5661/798, 5173/5500?

Answer: GCF of Numerators as per given numbers 5661/798, 5173/5500 is

GCF of Numerators i.e. for 5661,5173 is 1

LCM of denominators i.e. for 798,5500 is 2194500.

Thus, GCF of Fractions is 1/2194500.Finally, GCF of Fractions for 5661/798, 5173/5500 is 1/2194500.