GCD of 456, 939, 743, 820 Calculator

Given Input numbers are 456, 939, 743, 820

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

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 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 456, 939, 743, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 939, 743, 820 is 1.

Therefore, GCD of numbers 456, 939, 743, 820 is 1

Given Input Data is 456, 939, 743, 820

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

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 743 is 743

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(456, 939) = 142728

GCD(456, 939) = ( 456 x 939 ) / 142728

GCD(456, 939) = 428184 / 142728

GCD(456, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 743

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

LCM(3, 743) = 2229

GCD(3, 743) = ( 3 x 743 ) / 2229

GCD(3, 743) = 2229 / 2229

GCD(3, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 456, 939, 743, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 535, 132, 326
• GCD of 413, 337, 388, 174
• GCD of 956, 519, 425, 461
• GCD of 588, 593, 637, 977
• GCD of 766, 768, 973, 584

1. What is the GCD of 456, 939, 743, 820?

GCD of 456, 939, 743, 820 is 1

2. Where do I get the detailed procedure to find GCD of 456, 939, 743, 820?

You can find a detailed procedure to find GCD of 456, 939, 743, 820 on our page.

3. How to find GCD of 456, 939, 743, 820 on a calculator?

You can find the GCD of 456, 939, 743, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.