GCD of 780, 372, 97, 165 Calculator

Given Input numbers are 780, 372, 97, 165

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 780, 372, 97, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 372, 97, 165 is 1.

Therefore, GCD of numbers 780, 372, 97, 165 is 1

Given Input Data is 780, 372, 97, 165

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 97 is 97

Prime Factorization of 165 is 3 x 5 x 11

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(780, 372) = 24180

GCD(780, 372) = ( 780 x 372 ) / 24180

GCD(780, 372) = 290160 / 24180

GCD(780, 372) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 97

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

LCM(12, 97) = 1164

GCD(12, 97) = ( 12 x 97 ) / 1164

GCD(12, 97) = 1164 / 1164

GCD(12, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 780, 372, 97, 165 is 1

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1. What is the GCD of 780, 372, 97, 165?

GCD of 780, 372, 97, 165 is 1

2. Where do I get the detailed procedure to find GCD of 780, 372, 97, 165?

You can find a detailed procedure to find GCD of 780, 372, 97, 165 on our page.

3. How to find GCD of 780, 372, 97, 165 on a calculator?

You can find the GCD of 780, 372, 97, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.