GCD of 976, 272, 22, 207 Calculator

Given Input numbers are 976, 272, 22, 207

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 976, 272, 22, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 272, 22, 207 is 1.

Therefore, GCD of numbers 976, 272, 22, 207 is 1

Given Input Data is 976, 272, 22, 207

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 22 is 2 x 11

Prime Factorization of 207 is 3 x 3 x 23

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(976, 272) = 16592

GCD(976, 272) = ( 976 x 272 ) / 16592

GCD(976, 272) = 265472 / 16592

GCD(976, 272) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 22

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

LCM(16, 22) = 176

GCD(16, 22) = ( 16 x 22 ) / 176

GCD(16, 22) = 352 / 176

GCD(16, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

GCD of 976, 272, 22, 207 is 1

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1. What is the GCD of 976, 272, 22, 207?

GCD of 976, 272, 22, 207 is 1

2. Where do I get the detailed procedure to find GCD of 976, 272, 22, 207?

You can find a detailed procedure to find GCD of 976, 272, 22, 207 on our page.

3. How to find GCD of 976, 272, 22, 207 on a calculator?

You can find the GCD of 976, 272, 22, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.