Greatest Common Factor of 60/85, 50/73, 450/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/85, 50/73, 450/219

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 60/85,50/73,450/219

Given fractions are 60/85,50/73,450/219

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 60,50,450

Greatest Common Factor of Numerators i.e. GCF of 60,50,450 is 10 .

LCM of Denominators means LCM of 85,73,219 as per the given fractions.

LCM of 85,73,219 is 18615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,50,450

GCF of Fractions 60/85,50/73,450/219 is 10/18615

2 60, 50, 450
5 30, 25, 225
6, 5, 45

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 60,50,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,50,450 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 60,50,450 . The biggest common factor number is the GCF number.
So the greatest common factor 60,50,450 is 10.

Lets's calculate LCM of 85,73,219

73 85, 73, 219
85, 1, 3

∴ So the LCM of the given numbers is 73 x 85 x 1 x 3 = 18615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/18615

Therefore, the GCF of Fractions 60/85,50/73,450/219 is 10/18615

Least Common Multiple of 85,73,219 with GCF Formula

Least Common Multiple of 85,73,219 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 85,73,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,73,219) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(85,73,219) x common factors =1 x 73 = 73

LCM(85,73,219) = ( 85 × 73 × 219 ) / 73

LCM(85,73,219) = 1358895 / 73

LCM(85,73,219) = 18615


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 60/85, 50/73, 450/219

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 60/85, 50/73, 450/219?

Answer: GCF of Numerators as per given numbers 60/85, 50/73, 450/219 is

GCF of Numerators i.e. for 60,50,450 is 10

LCM of denominators i.e. for 85,73,219 is 18615.

Thus, GCF of Fractions is 10/18615.Finally, GCF of Fractions for 60/85, 50/73, 450/219 is 10/18615.