Greatest Common Factor of 1296/60, 6705/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1296/60, 6705/186

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 1296/60,6705/186

Given fractions are 1296/60,6705/186

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 1296,6705

Greatest Common Factor of Numerators i.e. GCF of 1296,6705 is 9 .

LCM of Denominators means LCM of 60,186 as per the given fractions.

LCM of 60,186 is 1860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1296,6705

GCF of Fractions 1296/60,6705/186 is 9/1860

3 1296, 6705
3 432, 2235
144, 745

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1296,6705 By Matching Biggest Common Factor Method

Greatest Common Factor of 1296,6705 By Matching Biggest Common Factor Method

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Greatest Common Factor

We found the factors 1296,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 1296,6705 is 9.

Lets's calculate LCM of 60,186

2 60, 186
3 30, 93
10, 31

∴ So the LCM of the given numbers is 2 x 3 x 10 x 31 = 1860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1860

Therefore, the GCF of Fractions 1296/60,6705/186 is 9/1860

Least Common Multiple of 60,186 with GCF Formula

Least Common Multiple of 60,186 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 60,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,186) = 6

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

GCF(60,186) x common factors =6 x 1 = 6

LCM(60,186) = ( 60 × 186 ) / 6

LCM(60,186) = 11160 / 6

LCM(60,186) = 1860


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 1296/60, 6705/186

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 1296/60, 6705/186?

Answer: GCF of Numerators as per given numbers 1296/60, 6705/186 is

GCF of Numerators i.e. for 1296,6705 is 9

LCM of denominators i.e. for 60,186 is 1860.

Thus, GCF of Fractions is 9/1860.Finally, GCF of Fractions for 1296/60, 6705/186 is 9/1860.