GCD of 839, 143, 60, 302 Calculator

Given Input numbers are 839, 143, 60, 302

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 143

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

1, 11, 13, 143

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 839, 143, 60, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 143, 60, 302 is 1.

Therefore, GCD of numbers 839, 143, 60, 302 is 1

Given Input Data is 839, 143, 60, 302

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 839 is 839

Prime Factorization of 143 is 11 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 302 is 2 x 151

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(839, 143) = 119977

GCD(839, 143) = ( 839 x 143 ) / 119977

GCD(839, 143) = 119977 / 119977

GCD(839, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 839, 143, 60, 302 is 1

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1. What is the GCD of 839, 143, 60, 302?

GCD of 839, 143, 60, 302 is 1

2. Where do I get the detailed procedure to find GCD of 839, 143, 60, 302?

You can find a detailed procedure to find GCD of 839, 143, 60, 302 on our page.

3. How to find GCD of 839, 143, 60, 302 on a calculator?

You can find the GCD of 839, 143, 60, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.