Greatest Common Factor of 6610/85, 2072/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6610/85, 2072/150

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 6610/85,2072/150

Given fractions are 6610/85,2072/150

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 6610,2072

Greatest Common Factor of Numerators i.e. GCF of 6610,2072 is 2 .

LCM of Denominators means LCM of 85,150 as per the given fractions.

LCM of 85,150 is 2550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6610,2072

GCF of Fractions 6610/85,2072/150 is 2/2550

2 6610, 2072
3305, 1036

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

Greatest Common Factor of 6610,2072 By Matching Biggest Common Factor Method

Greatest Common Factor of 6610,2072 By Matching Biggest Common Factor Method

Factors of 6610

List of positive integer factors of 6610 that divides 6610 without a remainder.

1,2,5,10,661,1322,3305,6610

Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072

Greatest Common Factor

We found the factors 6610,2072 . The biggest common factor number is the GCF number.
So the greatest common factor 6610,2072 is 2.

Lets's calculate LCM of 85,150

5 85, 150
17, 30

∴ So the LCM of the given numbers is 5 x 17 x 30 = 2550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2550

Therefore, the GCF of Fractions 6610/85,2072/150 is 2/2550

Least Common Multiple of 85,150 with GCF Formula

Least Common Multiple of 85,150 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 85,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,150) = 5

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

GCF(85,150) x common factors =5 x 1 = 5

LCM(85,150) = ( 85 × 150 ) / 5

LCM(85,150) = 12750 / 5

LCM(85,150) = 2550


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 6610/85, 2072/150

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 6610/85, 2072/150?

Answer: GCF of Numerators as per given numbers 6610/85, 2072/150 is

GCF of Numerators i.e. for 6610,2072 is 2

LCM of denominators i.e. for 85,150 is 2550.

Thus, GCF of Fractions is 2/2550.Finally, GCF of Fractions for 6610/85, 2072/150 is 2/2550.