GCD of 420, 601, 84, 765 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 420, 601, 84, 765 i.e. 1 largest integer that divides all the numbers equally.

GCD of 420, 601, 84, 765 is 1

GCD(420, 601, 84, 765) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 420, 601, 84, 765 is 1

GCD(420, 601, 84, 765) = 1

GCD of 420,601,84,765 Calculator

GCDof 420,601,84,765 is 1

Given Input numbers are 420, 601, 84, 765

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

Greatest Common Divisior

We found the divisors of 420, 601, 84, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 601, 84, 765 is 1.

Therefore, GCD of numbers 420, 601, 84, 765 is 1

Finding GCD of 420, 601, 84, 765 using Prime Factorization

Given Input Data is 420, 601, 84, 765

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 601 is 601

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 420, 601, 84, 765 using LCM Formula

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(420, 601) = 252420

GCD(420, 601) = ( 420 x 601 ) / 252420

GCD(420, 601) = 252420 / 252420

GCD(420, 601) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1


Step3:

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

GCD of 420, 601, 84, 765 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 420, 601, 84, 765

1. What is the GCD of 420, 601, 84, 765?

GCD of 420, 601, 84, 765 is 1


2. Where do I get the detailed procedure to find GCD of 420, 601, 84, 765?

You can find a detailed procedure to find GCD of 420, 601, 84, 765 on our page.


3. How to find GCD of 420, 601, 84, 765 on a calculator?

You can find the GCD of 420, 601, 84, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.