GCD of 152, 889, 92, 656 Calculator

Given Input numbers are 152, 889, 92, 656

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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

Greatest Common Divisior

We found the divisors of 152, 889, 92, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 889, 92, 656 is 1.

Therefore, GCD of numbers 152, 889, 92, 656 is 1

Given Input Data is 152, 889, 92, 656

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 889 is 7 x 127

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 656 is 2 x 2 x 2 x 2 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(152, 889) = 135128

GCD(152, 889) = ( 152 x 889 ) / 135128

GCD(152, 889) = 135128 / 135128

GCD(152, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 152, 889, 92, 656 is 1

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1. What is the GCD of 152, 889, 92, 656?

GCD of 152, 889, 92, 656 is 1

2. Where do I get the detailed procedure to find GCD of 152, 889, 92, 656?

You can find a detailed procedure to find GCD of 152, 889, 92, 656 on our page.

3. How to find GCD of 152, 889, 92, 656 on a calculator?

You can find the GCD of 152, 889, 92, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.