Greatest Common Factor of 8637/223, 1678/5972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8637/223, 1678/5972

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 8637/223,1678/5972

Given fractions are 8637/223,1678/5972

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 8637,1678

Greatest Common Factor of Numerators i.e. GCF of 8637,1678 is 1 .

LCM of Denominators means LCM of 223,5972 as per the given fractions.

LCM of 223,5972 is 1331756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8637,1678

GCF of Fractions 8637/223,1678/5972 is 1/1331756

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

Greatest Common Factor of 8637,1678 By Matching Biggest Common Factor Method

Greatest Common Factor of 8637,1678 By Matching Biggest Common Factor Method

Factors of 8637

List of positive integer factors of 8637 that divides 8637 without a remainder.

1,3,2879,8637

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Greatest Common Factor

We found the factors 8637,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 8637,1678 is 1.

Lets's calculate LCM of 223,5972

Given numbers has no common factors except 1. So, there LCM is their product i.e 1331756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1331756

Therefore, the GCF of Fractions 8637/223,1678/5972 is 1/1331756

Least Common Multiple of 223,5972 with GCF Formula

Least Common Multiple of 223,5972 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 223,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,5972) = 1

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

GCF(223,5972) x common factors =1 x 1 = 1

LCM(223,5972) = ( 223 × 5972 ) / 1

LCM(223,5972) = 1331756 / 1

LCM(223,5972) = 1331756


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 8637/223, 1678/5972

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 8637/223, 1678/5972?

Answer: GCF of Numerators as per given numbers 8637/223, 1678/5972 is

GCF of Numerators i.e. for 8637,1678 is 1

LCM of denominators i.e. for 223,5972 is 1331756.

Thus, GCF of Fractions is 1/1331756.Finally, GCF of Fractions for 8637/223, 1678/5972 is 1/1331756.