GCD of 767, 456, 52 Calculator

Given Input numbers are 767, 456, 52

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 767, 456, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 456, 52 is 1.

Therefore, GCD of numbers 767, 456, 52 is 1

Given Input Data is 767, 456, 52

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 52 is 2 x 2 x 13

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(767, 456) = 349752

GCD(767, 456) = ( 767 x 456 ) / 349752

GCD(767, 456) = 349752 / 349752

GCD(767, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

GCD of 767, 456, 52 is 1

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1. What is the GCD of 767, 456, 52?

GCD of 767, 456, 52 is 1

2. Where do I get the detailed procedure to find GCD of 767, 456, 52?

You can find a detailed procedure to find GCD of 767, 456, 52 on our page.

3. How to find GCD of 767, 456, 52 on a calculator?

You can find the GCD of 767, 456, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.