Greatest Common Factor of 195/786, 693/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/786, 693/172

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 195/786,693/172

Given fractions are 195/786,693/172

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 195,693

Greatest Common Factor of Numerators i.e. GCF of 195,693 is 3 .

LCM of Denominators means LCM of 786,172 as per the given fractions.

LCM of 786,172 is 67596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,693

GCF of Fractions 195/786,693/172 is 3/67596

3 195, 693
65, 231

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

Greatest Common Factor of 195,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,693 By Matching Biggest Common Factor Method

Factors of 195

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

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

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 195,693 . The biggest common factor number is the GCF number.
So the greatest common factor 195,693 is 3.

Lets's calculate LCM of 786,172

2 786, 172
393, 86

∴ So the LCM of the given numbers is 2 x 393 x 86 = 67596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67596

Therefore, the GCF of Fractions 195/786,693/172 is 3/67596

Least Common Multiple of 786,172 with GCF Formula

Least Common Multiple of 786,172 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 786,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,172) = 2

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

GCF(786,172) x common factors =2 x 1 = 2

LCM(786,172) = ( 786 × 172 ) / 2

LCM(786,172) = 135192 / 2

LCM(786,172) = 67596


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 195/786, 693/172

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 195/786, 693/172?

Answer: GCF of Numerators as per given numbers 195/786, 693/172 is

GCF of Numerators i.e. for 195,693 is 3

LCM of denominators i.e. for 786,172 is 67596.

Thus, GCF of Fractions is 3/67596.Finally, GCF of Fractions for 195/786, 693/172 is 3/67596.