GCD of 765, 571, 455, 120 Calculator

Given Input numbers are 765, 571, 455, 120

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

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 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 765, 571, 455, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 571, 455, 120 is 1.

Therefore, GCD of numbers 765, 571, 455, 120 is 1

Given Input Data is 765, 571, 455, 120

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

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

Prime Factorization of 571 is 571

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 120 is 2 x 2 x 2 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(765, 571) = 436815

GCD(765, 571) = ( 765 x 571 ) / 436815

GCD(765, 571) = 436815 / 436815

GCD(765, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 765, 571, 455, 120 is 1

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1. What is the GCD of 765, 571, 455, 120?

GCD of 765, 571, 455, 120 is 1

2. Where do I get the detailed procedure to find GCD of 765, 571, 455, 120?

You can find a detailed procedure to find GCD of 765, 571, 455, 120 on our page.

3. How to find GCD of 765, 571, 455, 120 on a calculator?

You can find the GCD of 765, 571, 455, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.