GCD of 495, 437, 829, 962 Calculator

Given Input numbers are 495, 437, 829, 962

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 495, 437, 829, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 437, 829, 962 is 1.

Therefore, GCD of numbers 495, 437, 829, 962 is 1

Given Input Data is 495, 437, 829, 962

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 437 is 19 x 23

Prime Factorization of 829 is 829

Prime Factorization of 962 is 2 x 13 x 37

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(495, 437) = 216315

GCD(495, 437) = ( 495 x 437 ) / 216315

GCD(495, 437) = 216315 / 216315

GCD(495, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 495, 437, 829, 962 is 1

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1. What is the GCD of 495, 437, 829, 962?

GCD of 495, 437, 829, 962 is 1

2. Where do I get the detailed procedure to find GCD of 495, 437, 829, 962?

You can find a detailed procedure to find GCD of 495, 437, 829, 962 on our page.

3. How to find GCD of 495, 437, 829, 962 on a calculator?

You can find the GCD of 495, 437, 829, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.