GCD of 900, 971, 61, 960 Calculator

Given Input numbers are 900, 971, 61, 960

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 900, 971, 61, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 971, 61, 960 is 1.

Therefore, GCD of numbers 900, 971, 61, 960 is 1

Given Input Data is 900, 971, 61, 960

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 971 is 971

Prime Factorization of 61 is 61

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 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(900, 971) = 873900

GCD(900, 971) = ( 900 x 971 ) / 873900

GCD(900, 971) = 873900 / 873900

GCD(900, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 900, 971, 61, 960 is 1

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• GCD of 964, 166, 64, 173
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• GCD of 131, 910, 26, 388

1. What is the GCD of 900, 971, 61, 960?

GCD of 900, 971, 61, 960 is 1

2. Where do I get the detailed procedure to find GCD of 900, 971, 61, 960?

You can find a detailed procedure to find GCD of 900, 971, 61, 960 on our page.

3. How to find GCD of 900, 971, 61, 960 on a calculator?

You can find the GCD of 900, 971, 61, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.