GCD of 416, 708, 29, 369 Calculator

Given Input numbers are 416, 708, 29, 369

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 416, 708, 29, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 708, 29, 369 is 1.

Therefore, GCD of numbers 416, 708, 29, 369 is 1

Given Input Data is 416, 708, 29, 369

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 29 is 29

Prime Factorization of 369 is 3 x 3 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(416, 708) = 73632

GCD(416, 708) = ( 416 x 708 ) / 73632

GCD(416, 708) = 294528 / 73632

GCD(416, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 416, 708, 29, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 418, 91, 477
• GCD of 913, 275, 44, 117
• GCD of 156, 103, 22, 432
• GCD of 337, 439, 55, 980
• GCD of 439, 743, 37, 358

1. What is the GCD of 416, 708, 29, 369?

GCD of 416, 708, 29, 369 is 1

2. Where do I get the detailed procedure to find GCD of 416, 708, 29, 369?

You can find a detailed procedure to find GCD of 416, 708, 29, 369 on our page.

3. How to find GCD of 416, 708, 29, 369 on a calculator?

You can find the GCD of 416, 708, 29, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.