GCD of 421, 664, 785, 106 Calculator

Given Input numbers are 421, 664, 785, 106

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 421, 664, 785, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 664, 785, 106 is 1.

Therefore, GCD of numbers 421, 664, 785, 106 is 1

Given Input Data is 421, 664, 785, 106

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

Prime Factorization of 421 is 421

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 785 is 5 x 157

Prime Factorization of 106 is 2 x 53

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, 664) = 279544

GCD(421, 664) = ( 421 x 664 ) / 279544

GCD(421, 664) = 279544 / 279544

GCD(421, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 421, 664, 785, 106 is 1

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1. What is the GCD of 421, 664, 785, 106?

GCD of 421, 664, 785, 106 is 1

2. Where do I get the detailed procedure to find GCD of 421, 664, 785, 106?

You can find a detailed procedure to find GCD of 421, 664, 785, 106 on our page.

3. How to find GCD of 421, 664, 785, 106 on a calculator?

You can find the GCD of 421, 664, 785, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.