GCD of 216, 402, 55, 971 Calculator

Given Input numbers are 216, 402, 55, 971

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 216, 402, 55, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 402, 55, 971 is 1.

Therefore, GCD of numbers 216, 402, 55, 971 is 1

Given Input Data is 216, 402, 55, 971

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 55 is 5 x 11

Prime Factorization of 971 is 971

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(216, 402) = 14472

GCD(216, 402) = ( 216 x 402 ) / 14472

GCD(216, 402) = 86832 / 14472

GCD(216, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 55

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

LCM(6, 55) = 330

GCD(6, 55) = ( 6 x 55 ) / 330

GCD(6, 55) = 330 / 330

GCD(6, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 216, 402, 55, 971 is 1

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• GCD of 789, 905, 84, 514
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1. What is the GCD of 216, 402, 55, 971?

GCD of 216, 402, 55, 971 is 1

2. Where do I get the detailed procedure to find GCD of 216, 402, 55, 971?

You can find a detailed procedure to find GCD of 216, 402, 55, 971 on our page.

3. How to find GCD of 216, 402, 55, 971 on a calculator?

You can find the GCD of 216, 402, 55, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.