GCD of 532, 759, 779, 457 Calculator

Given Input numbers are 532, 759, 779, 457

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 532, 759, 779, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 759, 779, 457 is 1.

Therefore, GCD of numbers 532, 759, 779, 457 is 1

Given Input Data is 532, 759, 779, 457

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 779 is 19 x 41

Prime Factorization of 457 is 457

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(532, 759) = 403788

GCD(532, 759) = ( 532 x 759 ) / 403788

GCD(532, 759) = 403788 / 403788

GCD(532, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 532, 759, 779, 457 is 1

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1. What is the GCD of 532, 759, 779, 457?

GCD of 532, 759, 779, 457 is 1

2. Where do I get the detailed procedure to find GCD of 532, 759, 779, 457?

You can find a detailed procedure to find GCD of 532, 759, 779, 457 on our page.

3. How to find GCD of 532, 759, 779, 457 on a calculator?

You can find the GCD of 532, 759, 779, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.