GCD of 421, 106, 739, 420 Calculator

Given Input numbers are 421, 106, 739, 420

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

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

Greatest Common Divisior

We found the divisors of 421, 106, 739, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 106, 739, 420 is 1.

Therefore, GCD of numbers 421, 106, 739, 420 is 1

Given Input Data is 421, 106, 739, 420

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

Prime Factorization of 421 is 421

Prime Factorization of 106 is 2 x 53

Prime Factorization of 739 is 739

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

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, 106) = 44626

GCD(421, 106) = ( 421 x 106 ) / 44626

GCD(421, 106) = 44626 / 44626

GCD(421, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

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

GCD of 421, 106, 739, 420 is 1

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• GCD of 793, 457, 729, 974
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1. What is the GCD of 421, 106, 739, 420?

GCD of 421, 106, 739, 420 is 1

2. Where do I get the detailed procedure to find GCD of 421, 106, 739, 420?

You can find a detailed procedure to find GCD of 421, 106, 739, 420 on our page.

3. How to find GCD of 421, 106, 739, 420 on a calculator?

You can find the GCD of 421, 106, 739, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.