GCD of 96, 617, 456, 622 Calculator

Given Input numbers are 96, 617, 456, 622

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 96, 617, 456, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 617, 456, 622 is 1.

Therefore, GCD of numbers 96, 617, 456, 622 is 1

Given Input Data is 96, 617, 456, 622

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 617 is 617

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 622 is 2 x 311

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(96, 617) = 59232

GCD(96, 617) = ( 96 x 617 ) / 59232

GCD(96, 617) = 59232 / 59232

GCD(96, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 96, 617, 456, 622 is 1

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• GCD of 87, 736, 908, 707
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1. What is the GCD of 96, 617, 456, 622?

GCD of 96, 617, 456, 622 is 1

2. Where do I get the detailed procedure to find GCD of 96, 617, 456, 622?

You can find a detailed procedure to find GCD of 96, 617, 456, 622 on our page.

3. How to find GCD of 96, 617, 456, 622 on a calculator?

You can find the GCD of 96, 617, 456, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.