GCD of 72, 343, 356, 399 Calculator

Given Input numbers are 72, 343, 356, 399

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 72, 343, 356, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 343, 356, 399 is 1.

Therefore, GCD of numbers 72, 343, 356, 399 is 1

Given Input Data is 72, 343, 356, 399

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 399 is 3 x 7 x 19

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(72, 343) = 24696

GCD(72, 343) = ( 72 x 343 ) / 24696

GCD(72, 343) = 24696 / 24696

GCD(72, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 72, 343, 356, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 468, 760, 882
• GCD of 36, 389, 567, 857
• GCD of 67, 226, 105, 942
• GCD of 97, 633, 885, 668
• GCD of 29, 664, 811, 390

1. What is the GCD of 72, 343, 356, 399?

GCD of 72, 343, 356, 399 is 1

2. Where do I get the detailed procedure to find GCD of 72, 343, 356, 399?

You can find a detailed procedure to find GCD of 72, 343, 356, 399 on our page.

3. How to find GCD of 72, 343, 356, 399 on a calculator?

You can find the GCD of 72, 343, 356, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.