Greatest Common Factor of 201/78, 477/10, 219/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/78, 477/10, 219/307

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 201/78,477/10,219/307

Given fractions are 201/78,477/10,219/307

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 201,477,219

Greatest Common Factor of Numerators i.e. GCF of 201,477,219 is 3 .

LCM of Denominators means LCM of 78,10,307 as per the given fractions.

LCM of 78,10,307 is 119730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,477,219

GCF of Fractions 201/78,477/10,219/307 is 3/119730

3 201, 477, 219
67, 159, 73

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

Greatest Common Factor of 201,477,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,477,219 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 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 201,477,219 . The biggest common factor number is the GCF number.
So the greatest common factor 201,477,219 is 3.

Lets's calculate LCM of 78,10,307

2 78, 10, 307
39, 5, 307

∴ So the LCM of the given numbers is 2 x 39 x 5 x 307 = 119730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119730

Therefore, the GCF of Fractions 201/78,477/10,219/307 is 3/119730

Least Common Multiple of 78,10,307 with GCF Formula

Least Common Multiple of 78,10,307 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 78,10,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,10,307) = 1

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

GCF(78,10,307) x common factors =1 x 2 = 2

LCM(78,10,307) = ( 78 × 10 × 307 ) / 2

LCM(78,10,307) = 239460 / 2

LCM(78,10,307) = 119730


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 201/78, 477/10, 219/307

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 201/78, 477/10, 219/307?

Answer: GCF of Numerators as per given numbers 201/78, 477/10, 219/307 is

GCF of Numerators i.e. for 201,477,219 is 3

LCM of denominators i.e. for 78,10,307 is 119730.

Thus, GCF of Fractions is 3/119730.Finally, GCF of Fractions for 201/78, 477/10, 219/307 is 3/119730.