GCD of 252, 739, 20, 905 Calculator

Given Input numbers are 252, 739, 20, 905

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 252, 739, 20, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 739, 20, 905 is 1.

Therefore, GCD of numbers 252, 739, 20, 905 is 1

Given Input Data is 252, 739, 20, 905

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 739 is 739

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 905 is 5 x 181

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(252, 739) = 186228

GCD(252, 739) = ( 252 x 739 ) / 186228

GCD(252, 739) = 186228 / 186228

GCD(252, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 252, 739, 20, 905 is 1

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• GCD of 191, 531, 56, 514
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1. What is the GCD of 252, 739, 20, 905?

GCD of 252, 739, 20, 905 is 1

2. Where do I get the detailed procedure to find GCD of 252, 739, 20, 905?

You can find a detailed procedure to find GCD of 252, 739, 20, 905 on our page.

3. How to find GCD of 252, 739, 20, 905 on a calculator?

You can find the GCD of 252, 739, 20, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.