Greatest Common Factor of 69/27, 60/814, 195/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/27, 60/814, 195/628

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 69/27,60/814,195/628

Given fractions are 69/27,60/814,195/628

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 69,60,195

Greatest Common Factor of Numerators i.e. GCF of 69,60,195 is 3 .

LCM of Denominators means LCM of 27,814,628 as per the given fractions.

LCM of 27,814,628 is 6901092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,60,195

GCF of Fractions 69/27,60/814,195/628 is 3/6901092

3 69, 60, 195
23, 20, 65

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

Greatest Common Factor of 69,60,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,60,195 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

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 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 69,60,195 . The biggest common factor number is the GCF number.
So the greatest common factor 69,60,195 is 3.

Lets's calculate LCM of 27,814,628

2 27, 814, 628
27, 407, 314

∴ So the LCM of the given numbers is 2 x 27 x 407 x 314 = 6901092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6901092

Therefore, the GCF of Fractions 69/27,60/814,195/628 is 3/6901092

Least Common Multiple of 27,814,628 with GCF Formula

Least Common Multiple of 27,814,628 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 27,814,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,814,628) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(27,814,628) x common factors =1 x 2 = 2

LCM(27,814,628) = ( 27 × 814 × 628 ) / 2

LCM(27,814,628) = 13802184 / 2

LCM(27,814,628) = 6901092


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 69/27, 60/814, 195/628

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 69/27, 60/814, 195/628?

Answer: GCF of Numerators as per given numbers 69/27, 60/814, 195/628 is

GCF of Numerators i.e. for 69,60,195 is 3

LCM of denominators i.e. for 27,814,628 is 6901092.

Thus, GCF of Fractions is 3/6901092.Finally, GCF of Fractions for 69/27, 60/814, 195/628 is 3/6901092.