GCD of 20, 624, 959, 261 Calculator

Given Input numbers are 20, 624, 959, 261

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 20, 624, 959, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 624, 959, 261 is 1.

Therefore, GCD of numbers 20, 624, 959, 261 is 1

Given Input Data is 20, 624, 959, 261

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 959 is 7 x 137

Prime Factorization of 261 is 3 x 3 x 29

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(20, 624) = 3120

GCD(20, 624) = ( 20 x 624 ) / 3120

GCD(20, 624) = 12480 / 3120

GCD(20, 624) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 959

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

LCM(4, 959) = 3836

GCD(4, 959) = ( 4 x 959 ) / 3836

GCD(4, 959) = 3836 / 3836

GCD(4, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 20, 624, 959, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 957, 698, 941
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• GCD of 19, 687, 339, 531
• GCD of 97, 303, 362, 381

1. What is the GCD of 20, 624, 959, 261?

GCD of 20, 624, 959, 261 is 1

2. Where do I get the detailed procedure to find GCD of 20, 624, 959, 261?

You can find a detailed procedure to find GCD of 20, 624, 959, 261 on our page.

3. How to find GCD of 20, 624, 959, 261 on a calculator?

You can find the GCD of 20, 624, 959, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.