Greatest Common Factor of 150/29, 199/19, 421/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/29, 199/19, 421/453

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 150/29,199/19,421/453

Given fractions are 150/29,199/19,421/453

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 150,199,421

Greatest Common Factor of Numerators i.e. GCF of 150,199,421 is 1 .

LCM of Denominators means LCM of 29,19,453 as per the given fractions.

LCM of 29,19,453 is 249603 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,199,421

GCF of Fractions 150/29,199/19,421/453 is 1/249603

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

Greatest Common Factor of 150,199,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,199,421 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 150,199,421 . The biggest common factor number is the GCF number.
So the greatest common factor 150,199,421 is 1.

Lets's calculate LCM of 29,19,453

Given numbers has no common factors except 1. So, there LCM is their product i.e 249603

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249603

Therefore, the GCF of Fractions 150/29,199/19,421/453 is 1/249603

Least Common Multiple of 29,19,453 with GCF Formula

Least Common Multiple of 29,19,453 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 29,19,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,19,453) = 1

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

GCF(29,19,453) x common factors =1 x 1 = 1

LCM(29,19,453) = ( 29 × 19 × 453 ) / 1

LCM(29,19,453) = 249603 / 1

LCM(29,19,453) = 249603


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 150/29, 199/19, 421/453

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 150/29, 199/19, 421/453?

Answer: GCF of Numerators as per given numbers 150/29, 199/19, 421/453 is

GCF of Numerators i.e. for 150,199,421 is 1

LCM of denominators i.e. for 29,19,453 is 249603.

Thus, GCF of Fractions is 1/249603.Finally, GCF of Fractions for 150/29, 199/19, 421/453 is 1/249603.