Greatest Common Factor of 17/649, 63/237, 201/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/649, 63/237, 201/190

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 17/649,63/237,201/190

Given fractions are 17/649,63/237,201/190

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 17,63,201

Greatest Common Factor of Numerators i.e. GCF of 17,63,201 is 1 .

LCM of Denominators means LCM of 649,237,190 as per the given fractions.

LCM of 649,237,190 is 29224470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,63,201

GCF of Fractions 17/649,63/237,201/190 is 1/29224470

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

Greatest Common Factor of 17,63,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,63,201 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 17,63,201 . The biggest common factor number is the GCF number.
So the greatest common factor 17,63,201 is 1.

Lets's calculate LCM of 649,237,190

Given numbers has no common factors except 1. So, there LCM is their product i.e 29224470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29224470

Therefore, the GCF of Fractions 17/649,63/237,201/190 is 1/29224470

Least Common Multiple of 649,237,190 with GCF Formula

Least Common Multiple of 649,237,190 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 649,237,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,237,190) = 1

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

GCF(649,237,190) x common factors =1 x 1 = 1

LCM(649,237,190) = ( 649 × 237 × 190 ) / 1

LCM(649,237,190) = 29224470 / 1

LCM(649,237,190) = 29224470


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 17/649, 63/237, 201/190

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 17/649, 63/237, 201/190?

Answer: GCF of Numerators as per given numbers 17/649, 63/237, 201/190 is

GCF of Numerators i.e. for 17,63,201 is 1

LCM of denominators i.e. for 649,237,190 is 29224470.

Thus, GCF of Fractions is 1/29224470.Finally, GCF of Fractions for 17/649, 63/237, 201/190 is 1/29224470.