Greatest Common Factor of 18/433, 752/219, 949/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/433, 752/219, 949/219

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 18/433,752/219,949/219

Given fractions are 18/433,752/219,949/219

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 18,752,949

Greatest Common Factor of Numerators i.e. GCF of 18,752,949 is 1 .

LCM of Denominators means LCM of 433,219,219 as per the given fractions.

LCM of 433,219,219 is 94827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,752,949

GCF of Fractions 18/433,752/219,949/219 is 1/94827

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

Greatest Common Factor of 18,752,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,752,949 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 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 18,752,949 . The biggest common factor number is the GCF number.
So the greatest common factor 18,752,949 is 1.

Lets's calculate LCM of 433,219,219

3 433, 219, 219
73 433, 73, 73
433, 1, 1

∴ So the LCM of the given numbers is 3 x 73 x 433 x 1 x 1 = 94827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94827

Therefore, the GCF of Fractions 18/433,752/219,949/219 is 1/94827

Least Common Multiple of 433,219,219 with GCF Formula

Least Common Multiple of 433,219,219 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 433,219,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,219,219) = 1

common factors(in case of two or more numbers have common factors) = 219

GCF(433,219,219) x common factors =1 x 219 = 219

LCM(433,219,219) = ( 433 × 219 × 219 ) / 219

LCM(433,219,219) = 20767113 / 219

LCM(433,219,219) = 94827


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 18/433, 752/219, 949/219

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 18/433, 752/219, 949/219?

Answer: GCF of Numerators as per given numbers 18/433, 752/219, 949/219 is

GCF of Numerators i.e. for 18,752,949 is 1

LCM of denominators i.e. for 433,219,219 is 94827.

Thus, GCF of Fractions is 1/94827.Finally, GCF of Fractions for 18/433, 752/219, 949/219 is 1/94827.