Greatest Common Factor of 143/54, 106/39, 472/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/54, 106/39, 472/633

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 143/54,106/39,472/633

Given fractions are 143/54,106/39,472/633

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 143,106,472

Greatest Common Factor of Numerators i.e. GCF of 143,106,472 is 1 .

LCM of Denominators means LCM of 54,39,633 as per the given fractions.

LCM of 54,39,633 is 148122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,106,472

GCF of Fractions 143/54,106/39,472/633 is 1/148122

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

Greatest Common Factor of 143,106,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,106,472 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 143,106,472 . The biggest common factor number is the GCF number.
So the greatest common factor 143,106,472 is 1.

Lets's calculate LCM of 54,39,633

3 54, 39, 633
18, 13, 211

∴ So the LCM of the given numbers is 3 x 18 x 13 x 211 = 148122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148122

Therefore, the GCF of Fractions 143/54,106/39,472/633 is 1/148122

Least Common Multiple of 54,39,633 with GCF Formula

Least Common Multiple of 54,39,633 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 54,39,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,39,633) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(54,39,633) x common factors =3 x 3 = 9

LCM(54,39,633) = ( 54 × 39 × 633 ) / 9

LCM(54,39,633) = 1333098 / 9

LCM(54,39,633) = 148122


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 143/54, 106/39, 472/633

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 143/54, 106/39, 472/633?

Answer: GCF of Numerators as per given numbers 143/54, 106/39, 472/633 is

GCF of Numerators i.e. for 143,106,472 is 1

LCM of denominators i.e. for 54,39,633 is 148122.

Thus, GCF of Fractions is 1/148122.Finally, GCF of Fractions for 143/54, 106/39, 472/633 is 1/148122.