Greatest Common Factor of 335/32, 493/75, 430/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/32, 493/75, 430/482

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 335/32,493/75,430/482

Given fractions are 335/32,493/75,430/482

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 335,493,430

Greatest Common Factor of Numerators i.e. GCF of 335,493,430 is 1 .

LCM of Denominators means LCM of 32,75,482 as per the given fractions.

LCM of 32,75,482 is 578400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,493,430

GCF of Fractions 335/32,493/75,430/482 is 1/578400

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

Greatest Common Factor of 335,493,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,493,430 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 335,493,430 . The biggest common factor number is the GCF number.
So the greatest common factor 335,493,430 is 1.

Lets's calculate LCM of 32,75,482

2 32, 75, 482
16, 75, 241

∴ So the LCM of the given numbers is 2 x 16 x 75 x 241 = 578400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/578400

Therefore, the GCF of Fractions 335/32,493/75,430/482 is 1/578400

Least Common Multiple of 32,75,482 with GCF Formula

Least Common Multiple of 32,75,482 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 32,75,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,75,482) = 1

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

GCF(32,75,482) x common factors =1 x 2 = 2

LCM(32,75,482) = ( 32 × 75 × 482 ) / 2

LCM(32,75,482) = 1156800 / 2

LCM(32,75,482) = 578400


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 335/32, 493/75, 430/482

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 335/32, 493/75, 430/482?

Answer: GCF of Numerators as per given numbers 335/32, 493/75, 430/482 is

GCF of Numerators i.e. for 335,493,430 is 1

LCM of denominators i.e. for 32,75,482 is 578400.

Thus, GCF of Fractions is 1/578400.Finally, GCF of Fractions for 335/32, 493/75, 430/482 is 1/578400.