GCD of 46, 627, 964, 420 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 46, 627, 964, 420 i.e. 1 largest integer that divides all the numbers equally.

GCD of 46, 627, 964, 420 is 1

GCD(46, 627, 964, 420) = 1

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

GCD of

GCD of numbers 46, 627, 964, 420 is 1

GCD(46, 627, 964, 420) = 1

GCD of 46,627,964,420 Calculator

GCDof 46,627,964,420 is 1

Given Input numbers are 46, 627, 964, 420

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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

Greatest Common Divisior

We found the divisors of 46, 627, 964, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 627, 964, 420 is 1.

Therefore, GCD of numbers 46, 627, 964, 420 is 1

Finding GCD of 46, 627, 964, 420 using Prime Factorization

Given Input Data is 46, 627, 964, 420

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 964 is 2 x 2 x 241

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

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

Finding GCD of 46, 627, 964, 420 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(46, 627) = 28842

GCD(46, 627) = ( 46 x 627 ) / 28842

GCD(46, 627) = 28842 / 28842

GCD(46, 627) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 46, 627, 964, 420 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 46, 627, 964, 420

1. What is the GCD of 46, 627, 964, 420?

GCD of 46, 627, 964, 420 is 1


2. Where do I get the detailed procedure to find GCD of 46, 627, 964, 420?

You can find a detailed procedure to find GCD of 46, 627, 964, 420 on our page.


3. How to find GCD of 46, 627, 964, 420 on a calculator?

You can find the GCD of 46, 627, 964, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.