GCD of 36, 176, 945, 400 Calculator

Given Input numbers are 36, 176, 945, 400

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 36, 176, 945, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 176, 945, 400 is 1.

Therefore, GCD of numbers 36, 176, 945, 400 is 1

Given Input Data is 36, 176, 945, 400

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(36, 176) = 1584

GCD(36, 176) = ( 36 x 176 ) / 1584

GCD(36, 176) = 6336 / 1584

GCD(36, 176) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 945

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

LCM(4, 945) = 3780

GCD(4, 945) = ( 4 x 945 ) / 3780

GCD(4, 945) = 3780 / 3780

GCD(4, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 36, 176, 945, 400 is 1

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• GCD of 50, 503, 482, 787
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• GCD of 58, 759, 151, 648
• GCD of 37, 358, 481, 900

1. What is the GCD of 36, 176, 945, 400?

GCD of 36, 176, 945, 400 is 1

2. Where do I get the detailed procedure to find GCD of 36, 176, 945, 400?

You can find a detailed procedure to find GCD of 36, 176, 945, 400 on our page.

3. How to find GCD of 36, 176, 945, 400 on a calculator?

You can find the GCD of 36, 176, 945, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.