Greatest Common Factor of 290/61, 180/77, 243/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 290/61, 180/77, 243/284

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 290/61,180/77,243/284

Given fractions are 290/61,180/77,243/284

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 290,180,243

Greatest Common Factor of Numerators i.e. GCF of 290,180,243 is 1 .

LCM of Denominators means LCM of 61,77,284 as per the given fractions.

LCM of 61,77,284 is 1333948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 290,180,243

GCF of Fractions 290/61,180/77,243/284 is 1/1333948

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

Greatest Common Factor of 290,180,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,180,243 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 290,180,243 . The biggest common factor number is the GCF number.
So the greatest common factor 290,180,243 is 1.

Lets's calculate LCM of 61,77,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 1333948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1333948

Therefore, the GCF of Fractions 290/61,180/77,243/284 is 1/1333948

Least Common Multiple of 61,77,284 with GCF Formula

Least Common Multiple of 61,77,284 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 61,77,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,77,284) = 1

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

GCF(61,77,284) x common factors =1 x 1 = 1

LCM(61,77,284) = ( 61 × 77 × 284 ) / 1

LCM(61,77,284) = 1333948 / 1

LCM(61,77,284) = 1333948


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 290/61, 180/77, 243/284

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 290/61, 180/77, 243/284?

Answer: GCF of Numerators as per given numbers 290/61, 180/77, 243/284 is

GCF of Numerators i.e. for 290,180,243 is 1

LCM of denominators i.e. for 61,77,284 is 1333948.

Thus, GCF of Fractions is 1/1333948.Finally, GCF of Fractions for 290/61, 180/77, 243/284 is 1/1333948.