Greatest Common Factor of 17/49, 301/12, 186/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/49, 301/12, 186/625

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 17/49,301/12,186/625

Given fractions are 17/49,301/12,186/625

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 17,301,186

Greatest Common Factor of Numerators i.e. GCF of 17,301,186 is 1 .

LCM of Denominators means LCM of 49,12,625 as per the given fractions.

LCM of 49,12,625 is 367500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,301,186

GCF of Fractions 17/49,301/12,186/625 is 1/367500

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

Greatest Common Factor of 17,301,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,301,186 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 17,301,186 . The biggest common factor number is the GCF number.
So the greatest common factor 17,301,186 is 1.

Lets's calculate LCM of 49,12,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 367500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367500

Therefore, the GCF of Fractions 17/49,301/12,186/625 is 1/367500

Least Common Multiple of 49,12,625 with GCF Formula

Least Common Multiple of 49,12,625 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 49,12,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,12,625) = 1

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

GCF(49,12,625) x common factors =1 x 1 = 1

LCM(49,12,625) = ( 49 × 12 × 625 ) / 1

LCM(49,12,625) = 367500 / 1

LCM(49,12,625) = 367500


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 17/49, 301/12, 186/625

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 17/49, 301/12, 186/625?

Answer: GCF of Numerators as per given numbers 17/49, 301/12, 186/625 is

GCF of Numerators i.e. for 17,301,186 is 1

LCM of denominators i.e. for 49,12,625 is 367500.

Thus, GCF of Fractions is 1/367500.Finally, GCF of Fractions for 17/49, 301/12, 186/625 is 1/367500.