Greatest Common Factor of 201/73, 240/15, 738/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/73, 240/15, 738/622

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 201/73,240/15,738/622

Given fractions are 201/73,240/15,738/622

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 201,240,738

Greatest Common Factor of Numerators i.e. GCF of 201,240,738 is 3 .

LCM of Denominators means LCM of 73,15,622 as per the given fractions.

LCM of 73,15,622 is 681090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,240,738

GCF of Fractions 201/73,240/15,738/622 is 3/681090

3 201, 240, 738
67, 80, 246

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 201,240,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,240,738 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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 201,240,738 . The biggest common factor number is the GCF number.
So the greatest common factor 201,240,738 is 3.

Lets's calculate LCM of 73,15,622

Given numbers has no common factors except 1. So, there LCM is their product i.e 681090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/681090

Therefore, the GCF of Fractions 201/73,240/15,738/622 is 3/681090

Least Common Multiple of 73,15,622 with GCF Formula

Least Common Multiple of 73,15,622 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 73,15,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,15,622) = 1

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

GCF(73,15,622) x common factors =1 x 1 = 1

LCM(73,15,622) = ( 73 × 15 × 622 ) / 1

LCM(73,15,622) = 681090 / 1

LCM(73,15,622) = 681090


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 201/73, 240/15, 738/622

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 201/73, 240/15, 738/622?

Answer: GCF of Numerators as per given numbers 201/73, 240/15, 738/622 is

GCF of Numerators i.e. for 201,240,738 is 3

LCM of denominators i.e. for 73,15,622 is 681090.

Thus, GCF of Fractions is 3/681090.Finally, GCF of Fractions for 201/73, 240/15, 738/622 is 3/681090.