Greatest Common Factor of 429/75, 477/85, 106/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/75, 477/85, 106/39

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 429/75,477/85,106/39

Given fractions are 429/75,477/85,106/39

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 429,477,106

Greatest Common Factor of Numerators i.e. GCF of 429,477,106 is 1 .

LCM of Denominators means LCM of 75,85,39 as per the given fractions.

LCM of 75,85,39 is 16575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,477,106

GCF of Fractions 429/75,477/85,106/39 is 1/16575

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

Greatest Common Factor of 429,477,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,477,106 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 106

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

1,2,53,106

Greatest Common Factor

We found the factors 429,477,106 . The biggest common factor number is the GCF number.
So the greatest common factor 429,477,106 is 1.

Lets's calculate LCM of 75,85,39

3 75, 85, 39
5 25, 85, 13
5, 17, 13

∴ So the LCM of the given numbers is 3 x 5 x 5 x 17 x 13 = 16575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16575

Therefore, the GCF of Fractions 429/75,477/85,106/39 is 1/16575

Least Common Multiple of 75,85,39 with GCF Formula

Least Common Multiple of 75,85,39 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 75,85,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,85,39) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,85,39) x common factors =1 x 15 = 15

LCM(75,85,39) = ( 75 × 85 × 39 ) / 15

LCM(75,85,39) = 248625 / 15

LCM(75,85,39) = 16575


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 429/75, 477/85, 106/39

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 429/75, 477/85, 106/39?

Answer: GCF of Numerators as per given numbers 429/75, 477/85, 106/39 is

GCF of Numerators i.e. for 429,477,106 is 1

LCM of denominators i.e. for 75,85,39 is 16575.

Thus, GCF of Fractions is 1/16575.Finally, GCF of Fractions for 429/75, 477/85, 106/39 is 1/16575.