Greatest Common Factor of 201/64, 419/66, 148/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/64, 419/66, 148/19

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 201/64,419/66,148/19

Given fractions are 201/64,419/66,148/19

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 201,419,148

Greatest Common Factor of Numerators i.e. GCF of 201,419,148 is 1 .

LCM of Denominators means LCM of 64,66,19 as per the given fractions.

LCM of 64,66,19 is 40128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,419,148

GCF of Fractions 201/64,419/66,148/19 is 1/40128

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

Greatest Common Factor of 201,419,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,419,148 By Matching Biggest Common Factor Method

Factors of 201

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

1,3,67,201

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 201,419,148 . The biggest common factor number is the GCF number.
So the greatest common factor 201,419,148 is 1.

Lets's calculate LCM of 64,66,19

2 64, 66, 19
32, 33, 19

∴ So the LCM of the given numbers is 2 x 32 x 33 x 19 = 40128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40128

Therefore, the GCF of Fractions 201/64,419/66,148/19 is 1/40128

Least Common Multiple of 64,66,19 with GCF Formula

Least Common Multiple of 64,66,19 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 64,66,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,66,19) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,66,19) x common factors =1 x 2 = 2

LCM(64,66,19) = ( 64 × 66 × 19 ) / 2

LCM(64,66,19) = 80256 / 2

LCM(64,66,19) = 40128


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 201/64, 419/66, 148/19

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 201/64, 419/66, 148/19?

Answer: GCF of Numerators as per given numbers 201/64, 419/66, 148/19 is

GCF of Numerators i.e. for 201,419,148 is 1

LCM of denominators i.e. for 64,66,19 is 40128.

Thus, GCF of Fractions is 1/40128.Finally, GCF of Fractions for 201/64, 419/66, 148/19 is 1/40128.