Greatest Common Factor of 10/27, 604/50, 367/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/27, 604/50, 367/177

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 10/27,604/50,367/177

Given fractions are 10/27,604/50,367/177

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 10,604,367

Greatest Common Factor of Numerators i.e. GCF of 10,604,367 is 1 .

LCM of Denominators means LCM of 27,50,177 as per the given fractions.

LCM of 27,50,177 is 79650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,604,367

GCF of Fractions 10/27,604/50,367/177 is 1/79650

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

Greatest Common Factor of 10,604,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,604,367 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 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 10,604,367 . The biggest common factor number is the GCF number.
So the greatest common factor 10,604,367 is 1.

Lets's calculate LCM of 27,50,177

3 27, 50, 177
9, 50, 59

∴ So the LCM of the given numbers is 3 x 9 x 50 x 59 = 79650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79650

Therefore, the GCF of Fractions 10/27,604/50,367/177 is 1/79650

Least Common Multiple of 27,50,177 with GCF Formula

Least Common Multiple of 27,50,177 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 27,50,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,50,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,50,177) x common factors =1 x 3 = 3

LCM(27,50,177) = ( 27 × 50 × 177 ) / 3

LCM(27,50,177) = 238950 / 3

LCM(27,50,177) = 79650


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 10/27, 604/50, 367/177

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 10/27, 604/50, 367/177?

Answer: GCF of Numerators as per given numbers 10/27, 604/50, 367/177 is

GCF of Numerators i.e. for 10,604,367 is 1

LCM of denominators i.e. for 27,50,177 is 79650.

Thus, GCF of Fractions is 1/79650.Finally, GCF of Fractions for 10/27, 604/50, 367/177 is 1/79650.