Greatest Common Factor of 150/59, 299/51, 331/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/59, 299/51, 331/982

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 150/59,299/51,331/982

Given fractions are 150/59,299/51,331/982

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 150,299,331

Greatest Common Factor of Numerators i.e. GCF of 150,299,331 is 1 .

LCM of Denominators means LCM of 59,51,982 as per the given fractions.

LCM of 59,51,982 is 2954838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,299,331

GCF of Fractions 150/59,299/51,331/982 is 1/2954838

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

Greatest Common Factor of 150,299,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,299,331 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 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 150,299,331 . The biggest common factor number is the GCF number.
So the greatest common factor 150,299,331 is 1.

Lets's calculate LCM of 59,51,982

Given numbers has no common factors except 1. So, there LCM is their product i.e 2954838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2954838

Therefore, the GCF of Fractions 150/59,299/51,331/982 is 1/2954838

Least Common Multiple of 59,51,982 with GCF Formula

Least Common Multiple of 59,51,982 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 59,51,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,51,982) = 1

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

GCF(59,51,982) x common factors =1 x 1 = 1

LCM(59,51,982) = ( 59 × 51 × 982 ) / 1

LCM(59,51,982) = 2954838 / 1

LCM(59,51,982) = 2954838


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 150/59, 299/51, 331/982

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 150/59, 299/51, 331/982?

Answer: GCF of Numerators as per given numbers 150/59, 299/51, 331/982 is

GCF of Numerators i.e. for 150,299,331 is 1

LCM of denominators i.e. for 59,51,982 is 2954838.

Thus, GCF of Fractions is 1/2954838.Finally, GCF of Fractions for 150/59, 299/51, 331/982 is 1/2954838.