Greatest Common Factor of 68/77, 170/64, 187/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/77, 170/64, 187/324

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 68/77,170/64,187/324

Given fractions are 68/77,170/64,187/324

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 68,170,187

Greatest Common Factor of Numerators i.e. GCF of 68,170,187 is 17 .

LCM of Denominators means LCM of 77,64,324 as per the given fractions.

LCM of 77,64,324 is 399168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,170,187

GCF of Fractions 68/77,170/64,187/324 is 17/399168

17 68, 170, 187
4, 10, 11

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 68,170,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,170,187 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 68,170,187 . The biggest common factor number is the GCF number.
So the greatest common factor 68,170,187 is 17.

Lets's calculate LCM of 77,64,324

2 77, 64, 324
2 77, 32, 162
77, 16, 81

∴ So the LCM of the given numbers is 2 x 2 x 77 x 16 x 81 = 399168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/399168

Therefore, the GCF of Fractions 68/77,170/64,187/324 is 17/399168

Least Common Multiple of 77,64,324 with GCF Formula

Least Common Multiple of 77,64,324 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 77,64,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,64,324) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(77,64,324) x common factors =1 x 4 = 4

LCM(77,64,324) = ( 77 × 64 × 324 ) / 4

LCM(77,64,324) = 1596672 / 4

LCM(77,64,324) = 399168


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 68/77, 170/64, 187/324

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 68/77, 170/64, 187/324?

Answer: GCF of Numerators as per given numbers 68/77, 170/64, 187/324 is

GCF of Numerators i.e. for 68,170,187 is 17

LCM of denominators i.e. for 77,64,324 is 399168.

Thus, GCF of Fractions is 17/399168.Finally, GCF of Fractions for 68/77, 170/64, 187/324 is 17/399168.