Greatest Common Factor of 500/44, 250/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/44, 250/161

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 500/44,250/161

Given fractions are 500/44,250/161

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 500,250

Greatest Common Factor of Numerators i.e. GCF of 500,250 is 250 .

LCM of Denominators means LCM of 44,161 as per the given fractions.

LCM of 44,161 is 7084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,250

GCF of Fractions 500/44,250/161 is 250/7084

2 500, 250
5 250, 125
5 50, 25
5 10, 5
2, 1

∴ So the GCF of the given numbers is 2 x 5 x 5 x 5 = 250

Greatest Common Factor of 500,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,250 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 500,250 . The biggest common factor number is the GCF number.
So the greatest common factor 500,250 is 250.

Lets's calculate LCM of 44,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 7084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 250/7084

Therefore, the GCF of Fractions 500/44,250/161 is 250/7084

Least Common Multiple of 44,161 with GCF Formula

Least Common Multiple of 44,161 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 44,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,161) = 1

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

GCF(44,161) x common factors =1 x 1 = 1

LCM(44,161) = ( 44 × 161 ) / 1

LCM(44,161) = 7084 / 1

LCM(44,161) = 7084


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 500/44, 250/161

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 500/44, 250/161?

Answer: GCF of Numerators as per given numbers 500/44, 250/161 is

GCF of Numerators i.e. for 500,250 is 250

LCM of denominators i.e. for 44,161 is 7084.

Thus, GCF of Fractions is 250/7084.Finally, GCF of Fractions for 500/44, 250/161 is 250/7084.