Greatest Common Factor of 18/58, 54/77, 882/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/58, 54/77, 882/359

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 18/58,54/77,882/359

Given fractions are 18/58,54/77,882/359

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 18,54,882

Greatest Common Factor of Numerators i.e. GCF of 18,54,882 is 18 .

LCM of Denominators means LCM of 58,77,359 as per the given fractions.

LCM of 58,77,359 is 1603294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,54,882

GCF of Fractions 18/58,54/77,882/359 is 18/1603294

2 18, 54, 882
3 9, 27, 441
3 3, 9, 147
1, 3, 49

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 18,54,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,54,882 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 18,54,882 . The biggest common factor number is the GCF number.
So the greatest common factor 18,54,882 is 18.

Lets's calculate LCM of 58,77,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 1603294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1603294

Therefore, the GCF of Fractions 18/58,54/77,882/359 is 18/1603294

Least Common Multiple of 58,77,359 with GCF Formula

Least Common Multiple of 58,77,359 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 58,77,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,77,359) = 1

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

GCF(58,77,359) x common factors =1 x 1 = 1

LCM(58,77,359) = ( 58 × 77 × 359 ) / 1

LCM(58,77,359) = 1603294 / 1

LCM(58,77,359) = 1603294


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 18/58, 54/77, 882/359

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 18/58, 54/77, 882/359?

Answer: GCF of Numerators as per given numbers 18/58, 54/77, 882/359 is

GCF of Numerators i.e. for 18,54,882 is 18

LCM of denominators i.e. for 58,77,359 is 1603294.

Thus, GCF of Fractions is 18/1603294.Finally, GCF of Fractions for 18/58, 54/77, 882/359 is 18/1603294.