Greatest Common Factor of 180/89, 345/58, 433/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/89, 345/58, 433/386

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 180/89,345/58,433/386

Given fractions are 180/89,345/58,433/386

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 180,345,433

Greatest Common Factor of Numerators i.e. GCF of 180,345,433 is 1 .

LCM of Denominators means LCM of 89,58,386 as per the given fractions.

LCM of 89,58,386 is 996266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,345,433

GCF of Fractions 180/89,345/58,433/386 is 1/996266

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

Greatest Common Factor of 180,345,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,345,433 By Matching Biggest Common Factor Method

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 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 180,345,433 . The biggest common factor number is the GCF number.
So the greatest common factor 180,345,433 is 1.

Lets's calculate LCM of 89,58,386

2 89, 58, 386
89, 29, 193

∴ So the LCM of the given numbers is 2 x 89 x 29 x 193 = 996266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996266

Therefore, the GCF of Fractions 180/89,345/58,433/386 is 1/996266

Least Common Multiple of 89,58,386 with GCF Formula

Least Common Multiple of 89,58,386 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 89,58,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,58,386) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,58,386) x common factors =1 x 2 = 2

LCM(89,58,386) = ( 89 × 58 × 386 ) / 2

LCM(89,58,386) = 1992532 / 2

LCM(89,58,386) = 996266


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 180/89, 345/58, 433/386

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 180/89, 345/58, 433/386?

Answer: GCF of Numerators as per given numbers 180/89, 345/58, 433/386 is

GCF of Numerators i.e. for 180,345,433 is 1

LCM of denominators i.e. for 89,58,386 is 996266.

Thus, GCF of Fractions is 1/996266.Finally, GCF of Fractions for 180/89, 345/58, 433/386 is 1/996266.