GCD of 436, 636, 658, 945 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 436, 636, 658, 945 i.e. 1 largest integer that divides all the numbers equally.

GCD of 436, 636, 658, 945 is 1

GCD(436, 636, 658, 945) = 1

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

GCD of

GCD of numbers 436, 636, 658, 945 is 1

GCD(436, 636, 658, 945) = 1

GCD of 436,636,658,945 Calculator

GCDof 436,636,658,945 is 1

Given Input numbers are 436, 636, 658, 945

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 436, 636, 658, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 636, 658, 945 is 1.

Therefore, GCD of numbers 436, 636, 658, 945 is 1

Finding GCD of 436, 636, 658, 945 using Prime Factorization

Given Input Data is 436, 636, 658, 945

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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

Finding GCD of 436, 636, 658, 945 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(436, 636) = 69324

GCD(436, 636) = ( 436 x 636 ) / 69324

GCD(436, 636) = 277296 / 69324

GCD(436, 636) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 658

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

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

GCD(4, 658) = 2632 / 1316

GCD(4, 658) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

GCD of 436, 636, 658, 945 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 436, 636, 658, 945

1. What is the GCD of 436, 636, 658, 945?

GCD of 436, 636, 658, 945 is 1


2. Where do I get the detailed procedure to find GCD of 436, 636, 658, 945?

You can find a detailed procedure to find GCD of 436, 636, 658, 945 on our page.


3. How to find GCD of 436, 636, 658, 945 on a calculator?

You can find the GCD of 436, 636, 658, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.