GCD of 478, 696, 59, 364 Calculator

Given Input numbers are 478, 696, 59, 364

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 478, 696, 59, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 696, 59, 364 is 1.

Therefore, GCD of numbers 478, 696, 59, 364 is 1

Given Input Data is 478, 696, 59, 364

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 59 is 59

Prime Factorization of 364 is 2 x 2 x 7 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(478, 696) = 166344

GCD(478, 696) = ( 478 x 696 ) / 166344

GCD(478, 696) = 332688 / 166344

GCD(478, 696) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 478, 696, 59, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 403, 55, 759
• GCD of 575, 854, 40, 533
• GCD of 534, 447, 31, 619
• GCD of 999, 943, 66, 568
• GCD of 129, 239, 41, 437

1. What is the GCD of 478, 696, 59, 364?

GCD of 478, 696, 59, 364 is 1

2. Where do I get the detailed procedure to find GCD of 478, 696, 59, 364?

You can find a detailed procedure to find GCD of 478, 696, 59, 364 on our page.

3. How to find GCD of 478, 696, 59, 364 on a calculator?

You can find the GCD of 478, 696, 59, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.