Greatest Common Factor of 10/67, 61/95, 193/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/67, 61/95, 193/205

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 10/67,61/95,193/205

Given fractions are 10/67,61/95,193/205

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 10,61,193

Greatest Common Factor of Numerators i.e. GCF of 10,61,193 is 1 .

LCM of Denominators means LCM of 67,95,205 as per the given fractions.

LCM of 67,95,205 is 260965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,61,193

GCF of Fractions 10/67,61/95,193/205 is 1/260965

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 10,61,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,61,193 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 10,61,193 . The biggest common factor number is the GCF number.
So the greatest common factor 10,61,193 is 1.

Lets's calculate LCM of 67,95,205

5 67, 95, 205
67, 19, 41

∴ So the LCM of the given numbers is 5 x 67 x 19 x 41 = 260965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260965

Therefore, the GCF of Fractions 10/67,61/95,193/205 is 1/260965

Least Common Multiple of 67,95,205 with GCF Formula

Least Common Multiple of 67,95,205 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 67,95,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,95,205) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(67,95,205) x common factors =1 x 5 = 5

LCM(67,95,205) = ( 67 × 95 × 205 ) / 5

LCM(67,95,205) = 1304825 / 5

LCM(67,95,205) = 260965


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 10/67, 61/95, 193/205

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 10/67, 61/95, 193/205?

Answer: GCF of Numerators as per given numbers 10/67, 61/95, 193/205 is

GCF of Numerators i.e. for 10,61,193 is 1

LCM of denominators i.e. for 67,95,205 is 260965.

Thus, GCF of Fractions is 1/260965.Finally, GCF of Fractions for 10/67, 61/95, 193/205 is 1/260965.