GCD of 206, 985, 53, 142 Calculator

Given Input numbers are 206, 985, 53, 142

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 206, 985, 53, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 985, 53, 142 is 1.

Therefore, GCD of numbers 206, 985, 53, 142 is 1

Given Input Data is 206, 985, 53, 142

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 985 is 5 x 197

Prime Factorization of 53 is 53

Prime Factorization of 142 is 2 x 71

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(206, 985) = 202910

GCD(206, 985) = ( 206 x 985 ) / 202910

GCD(206, 985) = 202910 / 202910

GCD(206, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 206, 985, 53, 142 is 1

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1. What is the GCD of 206, 985, 53, 142?

GCD of 206, 985, 53, 142 is 1

2. Where do I get the detailed procedure to find GCD of 206, 985, 53, 142?

You can find a detailed procedure to find GCD of 206, 985, 53, 142 on our page.

3. How to find GCD of 206, 985, 53, 142 on a calculator?

You can find the GCD of 206, 985, 53, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.