GCD of 53, 331, 206, 840 Calculator

Given Input numbers are 53, 331, 206, 840

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

Divisors of 53

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

1, 53

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 206

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

1, 2, 103, 206

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 53, 331, 206, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 331, 206, 840 is 1.

Therefore, GCD of numbers 53, 331, 206, 840 is 1

Given Input Data is 53, 331, 206, 840

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

Prime Factorization of 53 is 53

Prime Factorization of 331 is 331

Prime Factorization of 206 is 2 x 103

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(53, 331) = 17543

GCD(53, 331) = ( 53 x 331 ) / 17543

GCD(53, 331) = 17543 / 17543

GCD(53, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 53, 331, 206, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 220, 721, 998
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• GCD of 53, 630, 230, 903

1. What is the GCD of 53, 331, 206, 840?

GCD of 53, 331, 206, 840 is 1

2. Where do I get the detailed procedure to find GCD of 53, 331, 206, 840?

You can find a detailed procedure to find GCD of 53, 331, 206, 840 on our page.

3. How to find GCD of 53, 331, 206, 840 on a calculator?

You can find the GCD of 53, 331, 206, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.