Greatest Common Factor of 482/16, 205/94, 382/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 482/16, 205/94, 382/971

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 482/16,205/94,382/971

Given fractions are 482/16,205/94,382/971

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 482,205,382

Greatest Common Factor of Numerators i.e. GCF of 482,205,382 is 1 .

LCM of Denominators means LCM of 16,94,971 as per the given fractions.

LCM of 16,94,971 is 730192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 482,205,382

GCF of Fractions 482/16,205/94,382/971 is 1/730192

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

Greatest Common Factor of 482,205,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,205,382 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 482,205,382 . The biggest common factor number is the GCF number.
So the greatest common factor 482,205,382 is 1.

Lets's calculate LCM of 16,94,971

2 16, 94, 971
8, 47, 971

∴ So the LCM of the given numbers is 2 x 8 x 47 x 971 = 730192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730192

Therefore, the GCF of Fractions 482/16,205/94,382/971 is 1/730192

Least Common Multiple of 16,94,971 with GCF Formula

Least Common Multiple of 16,94,971 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 16,94,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,94,971) = 1

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

GCF(16,94,971) x common factors =1 x 2 = 2

LCM(16,94,971) = ( 16 × 94 × 971 ) / 2

LCM(16,94,971) = 1460384 / 2

LCM(16,94,971) = 730192


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 482/16, 205/94, 382/971

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 482/16, 205/94, 382/971?

Answer: GCF of Numerators as per given numbers 482/16, 205/94, 382/971 is

GCF of Numerators i.e. for 482,205,382 is 1

LCM of denominators i.e. for 16,94,971 is 730192.

Thus, GCF of Fractions is 1/730192.Finally, GCF of Fractions for 482/16, 205/94, 382/971 is 1/730192.