GCD of 154, 882, 36, 905 Calculator

Given Input numbers are 154, 882, 36, 905

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 154, 882, 36, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 882, 36, 905 is 1.

Therefore, GCD of numbers 154, 882, 36, 905 is 1

Given Input Data is 154, 882, 36, 905

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 905 is 5 x 181

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(154, 882) = 9702

GCD(154, 882) = ( 154 x 882 ) / 9702

GCD(154, 882) = 135828 / 9702

GCD(154, 882) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 36

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

LCM(14, 36) = 252

GCD(14, 36) = ( 14 x 36 ) / 252

GCD(14, 36) = 504 / 252

GCD(14, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 905

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

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

GCD(2, 905) = 1810 / 1810

GCD(2, 905) = 1

GCD of 154, 882, 36, 905 is 1

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1. What is the GCD of 154, 882, 36, 905?

GCD of 154, 882, 36, 905 is 1

2. Where do I get the detailed procedure to find GCD of 154, 882, 36, 905?

You can find a detailed procedure to find GCD of 154, 882, 36, 905 on our page.

3. How to find GCD of 154, 882, 36, 905 on a calculator?

You can find the GCD of 154, 882, 36, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.