GCD of 906, 252, 164, 123 Calculator

Given Input numbers are 906, 252, 164, 123

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 906, 252, 164, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 252, 164, 123 is 1.

Therefore, GCD of numbers 906, 252, 164, 123 is 1

Given Input Data is 906, 252, 164, 123

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 123 is 3 x 41

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(906, 252) = 38052

GCD(906, 252) = ( 906 x 252 ) / 38052

GCD(906, 252) = 228312 / 38052

GCD(906, 252) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 164

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

LCM(6, 164) = 492

GCD(6, 164) = ( 6 x 164 ) / 492

GCD(6, 164) = 984 / 492

GCD(6, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

GCD of 906, 252, 164, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 726, 207, 923
• GCD of 910, 882, 317, 549
• GCD of 236, 231, 743, 286
• GCD of 712, 115, 393, 853
• GCD of 494, 863, 658, 771

1. What is the GCD of 906, 252, 164, 123?

GCD of 906, 252, 164, 123 is 1

2. Where do I get the detailed procedure to find GCD of 906, 252, 164, 123?

You can find a detailed procedure to find GCD of 906, 252, 164, 123 on our page.

3. How to find GCD of 906, 252, 164, 123 on a calculator?

You can find the GCD of 906, 252, 164, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.