Greatest Common Factor of 195/70, 1095/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/70, 1095/271

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 195/70,1095/271

Given fractions are 195/70,1095/271

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 195,1095

Greatest Common Factor of Numerators i.e. GCF of 195,1095 is 15 .

LCM of Denominators means LCM of 70,271 as per the given fractions.

LCM of 70,271 is 18970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,1095

GCF of Fractions 195/70,1095/271 is 15/18970

3 195, 1095
5 65, 365
13, 73

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 195,1095 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,1095 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 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Greatest Common Factor

We found the factors 195,1095 . The biggest common factor number is the GCF number.
So the greatest common factor 195,1095 is 15.

Lets's calculate LCM of 70,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 18970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/18970

Therefore, the GCF of Fractions 195/70,1095/271 is 15/18970

Least Common Multiple of 70,271 with GCF Formula

Least Common Multiple of 70,271 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 70,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,271) = 1

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

GCF(70,271) x common factors =1 x 1 = 1

LCM(70,271) = ( 70 × 271 ) / 1

LCM(70,271) = 18970 / 1

LCM(70,271) = 18970


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 195/70, 1095/271

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 195/70, 1095/271?

Answer: GCF of Numerators as per given numbers 195/70, 1095/271 is

GCF of Numerators i.e. for 195,1095 is 15

LCM of denominators i.e. for 70,271 is 18970.

Thus, GCF of Fractions is 15/18970.Finally, GCF of Fractions for 195/70, 1095/271 is 15/18970.