GCD of 96, 365, 180, 654 Calculator

Given Input numbers are 96, 365, 180, 654

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 96, 365, 180, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 365, 180, 654 is 1.

Therefore, GCD of numbers 96, 365, 180, 654 is 1

Given Input Data is 96, 365, 180, 654

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 365 is 5 x 73

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 654 is 2 x 3 x 109

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, 365) = 35040

GCD(96, 365) = ( 96 x 365 ) / 35040

GCD(96, 365) = 35040 / 35040

GCD(96, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 96, 365, 180, 654 is 1

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• GCD of 10, 482, 551, 106
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• GCD of 36, 458, 409, 555

1. What is the GCD of 96, 365, 180, 654?

GCD of 96, 365, 180, 654 is 1

2. Where do I get the detailed procedure to find GCD of 96, 365, 180, 654?

You can find a detailed procedure to find GCD of 96, 365, 180, 654 on our page.

3. How to find GCD of 96, 365, 180, 654 on a calculator?

You can find the GCD of 96, 365, 180, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.