Greatest Common Factor of 154/200, 661/327, 415/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/200, 661/327, 415/318

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 154/200,661/327,415/318

Given fractions are 154/200,661/327,415/318

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 154,661,415

Greatest Common Factor of Numerators i.e. GCF of 154,661,415 is 1 .

LCM of Denominators means LCM of 200,327,318 as per the given fractions.

LCM of 200,327,318 is 3466200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,661,415

GCF of Fractions 154/200,661/327,415/318 is 1/3466200

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

Greatest Common Factor of 154,661,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,661,415 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 154,661,415 . The biggest common factor number is the GCF number.
So the greatest common factor 154,661,415 is 1.

Lets's calculate LCM of 200,327,318

2 200, 327, 318
3 100, 327, 159
100, 109, 53

∴ So the LCM of the given numbers is 2 x 3 x 100 x 109 x 53 = 3466200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3466200

Therefore, the GCF of Fractions 154/200,661/327,415/318 is 1/3466200

Least Common Multiple of 200,327,318 with GCF Formula

Least Common Multiple of 200,327,318 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 200,327,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,327,318) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(200,327,318) x common factors =1 x 6 = 6

LCM(200,327,318) = ( 200 × 327 × 318 ) / 6

LCM(200,327,318) = 20797200 / 6

LCM(200,327,318) = 3466200


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 154/200, 661/327, 415/318

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 154/200, 661/327, 415/318?

Answer: GCF of Numerators as per given numbers 154/200, 661/327, 415/318 is

GCF of Numerators i.e. for 154,661,415 is 1

LCM of denominators i.e. for 200,327,318 is 3466200.

Thus, GCF of Fractions is 1/3466200.Finally, GCF of Fractions for 154/200, 661/327, 415/318 is 1/3466200.