Greatest Common Factor of 136/60, 844/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/60, 844/174

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 136/60,844/174

Given fractions are 136/60,844/174

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 136,844

Greatest Common Factor of Numerators i.e. GCF of 136,844 is 4 .

LCM of Denominators means LCM of 60,174 as per the given fractions.

LCM of 60,174 is 1740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,844

GCF of Fractions 136/60,844/174 is 4/1740

2 136, 844
2 68, 422
34, 211

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 136,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,844 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 136,844 . The biggest common factor number is the GCF number.
So the greatest common factor 136,844 is 4.

Lets's calculate LCM of 60,174

2 60, 174
3 30, 87
10, 29

∴ So the LCM of the given numbers is 2 x 3 x 10 x 29 = 1740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1740

Therefore, the GCF of Fractions 136/60,844/174 is 4/1740

Least Common Multiple of 60,174 with GCF Formula

Least Common Multiple of 60,174 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 60,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,174) = 6

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

GCF(60,174) x common factors =6 x 1 = 6

LCM(60,174) = ( 60 × 174 ) / 6

LCM(60,174) = 10440 / 6

LCM(60,174) = 1740


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 136/60, 844/174

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 136/60, 844/174?

Answer: GCF of Numerators as per given numbers 136/60, 844/174 is

GCF of Numerators i.e. for 136,844 is 4

LCM of denominators i.e. for 60,174 is 1740.

Thus, GCF of Fractions is 4/1740.Finally, GCF of Fractions for 136/60, 844/174 is 4/1740.