GCD of 152, 656, 706, 905 Calculator

Given Input numbers are 152, 656, 706, 905

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 152, 656, 706, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 656, 706, 905 is 1.

Therefore, GCD of numbers 152, 656, 706, 905 is 1

Given Input Data is 152, 656, 706, 905

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 706 is 2 x 353

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(152, 656) = 12464

GCD(152, 656) = ( 152 x 656 ) / 12464

GCD(152, 656) = 99712 / 12464

GCD(152, 656) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 706

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

LCM(8, 706) = 2824

GCD(8, 706) = ( 8 x 706 ) / 2824

GCD(8, 706) = 5648 / 2824

GCD(8, 706) = 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 152, 656, 706, 905 is 1

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1. What is the GCD of 152, 656, 706, 905?

GCD of 152, 656, 706, 905 is 1

2. Where do I get the detailed procedure to find GCD of 152, 656, 706, 905?

You can find a detailed procedure to find GCD of 152, 656, 706, 905 on our page.

3. How to find GCD of 152, 656, 706, 905 on a calculator?

You can find the GCD of 152, 656, 706, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.