GCD of 106, 127, 75, 972 Calculator

Given Input numbers are 106, 127, 75, 972

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 106, 127, 75, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 127, 75, 972 is 1.

Therefore, GCD of numbers 106, 127, 75, 972 is 1

Given Input Data is 106, 127, 75, 972

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 127 is 127

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(106, 127) = 13462

GCD(106, 127) = ( 106 x 127 ) / 13462

GCD(106, 127) = 13462 / 13462

GCD(106, 127) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 106, 127, 75, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 442, 30, 551
• GCD of 487, 833, 26, 462
• GCD of 426, 287, 17, 447
• GCD of 271, 443, 80, 882
• GCD of 548, 209, 63, 797

1. What is the GCD of 106, 127, 75, 972?

GCD of 106, 127, 75, 972 is 1

2. Where do I get the detailed procedure to find GCD of 106, 127, 75, 972?

You can find a detailed procedure to find GCD of 106, 127, 75, 972 on our page.

3. How to find GCD of 106, 127, 75, 972 on a calculator?

You can find the GCD of 106, 127, 75, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.