Greatest Common Factor of 4516/187, 8650/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4516/187, 8650/447

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 4516/187,8650/447

Given fractions are 4516/187,8650/447

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 4516,8650

Greatest Common Factor of Numerators i.e. GCF of 4516,8650 is 2 .

LCM of Denominators means LCM of 187,447 as per the given fractions.

LCM of 187,447 is 83589 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4516,8650

GCF of Fractions 4516/187,8650/447 is 2/83589

2 4516, 8650
2258, 4325

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4516,8650 By Matching Biggest Common Factor Method

Greatest Common Factor of 4516,8650 By Matching Biggest Common Factor Method

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1,2,4,1129,2258,4516

Factors of 8650

List of positive integer factors of 8650 that divides 8650 without a remainder.

1,2,5,10,25,50,173,346,865,1730,4325,8650

Greatest Common Factor

We found the factors 4516,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 4516,8650 is 2.

Lets's calculate LCM of 187,447

Given numbers has no common factors except 1. So, there LCM is their product i.e 83589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83589

Therefore, the GCF of Fractions 4516/187,8650/447 is 2/83589

Least Common Multiple of 187,447 with GCF Formula

Least Common Multiple of 187,447 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 187,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,447) = 1

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

GCF(187,447) x common factors =1 x 1 = 1

LCM(187,447) = ( 187 × 447 ) / 1

LCM(187,447) = 83589 / 1

LCM(187,447) = 83589


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 4516/187, 8650/447

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 4516/187, 8650/447?

Answer: GCF of Numerators as per given numbers 4516/187, 8650/447 is

GCF of Numerators i.e. for 4516,8650 is 2

LCM of denominators i.e. for 187,447 is 83589.

Thus, GCF of Fractions is 2/83589.Finally, GCF of Fractions for 4516/187, 8650/447 is 2/83589.