Greatest Common Factor of 393/62, 171/16, 956/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/62, 171/16, 956/842

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 393/62,171/16,956/842

Given fractions are 393/62,171/16,956/842

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 393,171,956

Greatest Common Factor of Numerators i.e. GCF of 393,171,956 is 1 .

LCM of Denominators means LCM of 62,16,842 as per the given fractions.

LCM of 62,16,842 is 208816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,171,956

GCF of Fractions 393/62,171/16,956/842 is 1/208816

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

Greatest Common Factor of 393,171,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,171,956 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 393,171,956 . The biggest common factor number is the GCF number.
So the greatest common factor 393,171,956 is 1.

Lets's calculate LCM of 62,16,842

2 62, 16, 842
31, 8, 421

∴ So the LCM of the given numbers is 2 x 31 x 8 x 421 = 208816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208816

Therefore, the GCF of Fractions 393/62,171/16,956/842 is 1/208816

Least Common Multiple of 62,16,842 with GCF Formula

Least Common Multiple of 62,16,842 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 62,16,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,16,842) = 2

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

GCF(62,16,842) x common factors =2 x 2 = 4

LCM(62,16,842) = ( 62 × 16 × 842 ) / 4

LCM(62,16,842) = 835264 / 4

LCM(62,16,842) = 208816


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 393/62, 171/16, 956/842

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 393/62, 171/16, 956/842?

Answer: GCF of Numerators as per given numbers 393/62, 171/16, 956/842 is

GCF of Numerators i.e. for 393,171,956 is 1

LCM of denominators i.e. for 62,16,842 is 208816.

Thus, GCF of Fractions is 1/208816.Finally, GCF of Fractions for 393/62, 171/16, 956/842 is 1/208816.