GCD of 428, 771, 52, 824 Calculator

Given Input numbers are 428, 771, 52, 824

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 428, 771, 52, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 771, 52, 824 is 1.

Therefore, GCD of numbers 428, 771, 52, 824 is 1

Given Input Data is 428, 771, 52, 824

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 771 is 3 x 257

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(428, 771) = 329988

GCD(428, 771) = ( 428 x 771 ) / 329988

GCD(428, 771) = 329988 / 329988

GCD(428, 771) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 428, 771, 52, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 322, 97, 810
• GCD of 824, 624, 75, 721
• GCD of 403, 242, 76, 185
• GCD of 842, 798, 49, 984
• GCD of 185, 329, 44, 849

1. What is the GCD of 428, 771, 52, 824?

GCD of 428, 771, 52, 824 is 1

2. Where do I get the detailed procedure to find GCD of 428, 771, 52, 824?

You can find a detailed procedure to find GCD of 428, 771, 52, 824 on our page.

3. How to find GCD of 428, 771, 52, 824 on a calculator?

You can find the GCD of 428, 771, 52, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.