Greatest Common Factor of 220/95, 161/50, 295/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/95, 161/50, 295/159

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 220/95,161/50,295/159

Given fractions are 220/95,161/50,295/159

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 220,161,295

Greatest Common Factor of Numerators i.e. GCF of 220,161,295 is 1 .

LCM of Denominators means LCM of 95,50,159 as per the given fractions.

LCM of 95,50,159 is 151050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,161,295

GCF of Fractions 220/95,161/50,295/159 is 1/151050

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

Greatest Common Factor of 220,161,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,161,295 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 220,161,295 . The biggest common factor number is the GCF number.
So the greatest common factor 220,161,295 is 1.

Lets's calculate LCM of 95,50,159

5 95, 50, 159
19, 10, 159

∴ So the LCM of the given numbers is 5 x 19 x 10 x 159 = 151050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151050

Therefore, the GCF of Fractions 220/95,161/50,295/159 is 1/151050

Least Common Multiple of 95,50,159 with GCF Formula

Least Common Multiple of 95,50,159 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 95,50,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,50,159) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,50,159) x common factors =1 x 5 = 5

LCM(95,50,159) = ( 95 × 50 × 159 ) / 5

LCM(95,50,159) = 755250 / 5

LCM(95,50,159) = 151050


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 220/95, 161/50, 295/159

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 220/95, 161/50, 295/159?

Answer: GCF of Numerators as per given numbers 220/95, 161/50, 295/159 is

GCF of Numerators i.e. for 220,161,295 is 1

LCM of denominators i.e. for 95,50,159 is 151050.

Thus, GCF of Fractions is 1/151050.Finally, GCF of Fractions for 220/95, 161/50, 295/159 is 1/151050.