GCD of 973, 163, 765, 180 Calculator

Given Input numbers are 973, 163, 765, 180

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

Greatest Common Divisior

We found the divisors of 973, 163, 765, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 163, 765, 180 is 1.

Therefore, GCD of numbers 973, 163, 765, 180 is 1

Given Input Data is 973, 163, 765, 180

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 163 is 163

Prime Factorization of 765 is 3 x 3 x 5 x 17

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

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(973, 163) = 158599

GCD(973, 163) = ( 973 x 163 ) / 158599

GCD(973, 163) = 158599 / 158599

GCD(973, 163) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

Step3:

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

GCD of 973, 163, 765, 180 is 1

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1. What is the GCD of 973, 163, 765, 180?

GCD of 973, 163, 765, 180 is 1

2. Where do I get the detailed procedure to find GCD of 973, 163, 765, 180?

You can find a detailed procedure to find GCD of 973, 163, 765, 180 on our page.

3. How to find GCD of 973, 163, 765, 180 on a calculator?

You can find the GCD of 973, 163, 765, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.