Greatest Common Factor of 33/87, 43/92, 144/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/87, 43/92, 144/290

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 33/87,43/92,144/290

Given fractions are 33/87,43/92,144/290

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 33,43,144

Greatest Common Factor of Numerators i.e. GCF of 33,43,144 is 1 .

LCM of Denominators means LCM of 87,92,290 as per the given fractions.

LCM of 87,92,290 is 40020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,43,144

GCF of Fractions 33/87,43/92,144/290 is 1/40020

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

Greatest Common Factor of 33,43,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,43,144 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 33,43,144 . The biggest common factor number is the GCF number.
So the greatest common factor 33,43,144 is 1.

Lets's calculate LCM of 87,92,290

2 87, 92, 290
29 87, 46, 145
3, 46, 5

∴ So the LCM of the given numbers is 2 x 29 x 3 x 46 x 5 = 40020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40020

Therefore, the GCF of Fractions 33/87,43/92,144/290 is 1/40020

Least Common Multiple of 87,92,290 with GCF Formula

Least Common Multiple of 87,92,290 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 87,92,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,92,290) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(87,92,290) x common factors =1 x 58 = 58

LCM(87,92,290) = ( 87 × 92 × 290 ) / 58

LCM(87,92,290) = 2321160 / 58

LCM(87,92,290) = 40020


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 33/87, 43/92, 144/290

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 33/87, 43/92, 144/290?

Answer: GCF of Numerators as per given numbers 33/87, 43/92, 144/290 is

GCF of Numerators i.e. for 33,43,144 is 1

LCM of denominators i.e. for 87,92,290 is 40020.

Thus, GCF of Fractions is 1/40020.Finally, GCF of Fractions for 33/87, 43/92, 144/290 is 1/40020.