GCD of 39, 353, 420, 554 Calculator

Given Input numbers are 39, 353, 420, 554

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 39, 353, 420, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 353, 420, 554 is 1.

Therefore, GCD of numbers 39, 353, 420, 554 is 1

Given Input Data is 39, 353, 420, 554

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 353 is 353

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 554 is 2 x 277

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(39, 353) = 13767

GCD(39, 353) = ( 39 x 353 ) / 13767

GCD(39, 353) = 13767 / 13767

GCD(39, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 39, 353, 420, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 424, 859, 403
• GCD of 48, 654, 556, 896
• GCD of 79, 942, 596, 301
• GCD of 31, 372, 903, 430
• GCD of 23, 517, 249, 205

1. What is the GCD of 39, 353, 420, 554?

GCD of 39, 353, 420, 554 is 1

2. Where do I get the detailed procedure to find GCD of 39, 353, 420, 554?

You can find a detailed procedure to find GCD of 39, 353, 420, 554 on our page.

3. How to find GCD of 39, 353, 420, 554 on a calculator?

You can find the GCD of 39, 353, 420, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.