GCD of 460, 212, 39, 763 Calculator

Given Input numbers are 460, 212, 39, 763

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 460, 212, 39, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 212, 39, 763 is 1.

Therefore, GCD of numbers 460, 212, 39, 763 is 1

Given Input Data is 460, 212, 39, 763

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 39 is 3 x 13

Prime Factorization of 763 is 7 x 109

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(460, 212) = 24380

GCD(460, 212) = ( 460 x 212 ) / 24380

GCD(460, 212) = 97520 / 24380

GCD(460, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 460, 212, 39, 763 is 1

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1. What is the GCD of 460, 212, 39, 763?

GCD of 460, 212, 39, 763 is 1

2. Where do I get the detailed procedure to find GCD of 460, 212, 39, 763?

You can find a detailed procedure to find GCD of 460, 212, 39, 763 on our page.

3. How to find GCD of 460, 212, 39, 763 on a calculator?

You can find the GCD of 460, 212, 39, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.