GCD of 421, 346, 72, 513 Calculator

Given Input numbers are 421, 346, 72, 513

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 421, 346, 72, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 346, 72, 513 is 1.

Therefore, GCD of numbers 421, 346, 72, 513 is 1

Given Input Data is 421, 346, 72, 513

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

Prime Factorization of 421 is 421

Prime Factorization of 346 is 2 x 173

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

Prime Factorization of 513 is 3 x 3 x 3 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(421, 346) = 145666

GCD(421, 346) = ( 421 x 346 ) / 145666

GCD(421, 346) = 145666 / 145666

GCD(421, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 421, 346, 72, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 574, 55, 251
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• GCD of 147, 460, 47, 373
• GCD of 658, 115, 76, 912
• GCD of 479, 113, 11, 969

1. What is the GCD of 421, 346, 72, 513?

GCD of 421, 346, 72, 513 is 1

2. Where do I get the detailed procedure to find GCD of 421, 346, 72, 513?

You can find a detailed procedure to find GCD of 421, 346, 72, 513 on our page.

3. How to find GCD of 421, 346, 72, 513 on a calculator?

You can find the GCD of 421, 346, 72, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.