GCD of 379, 423, 86, 420 Calculator

Given Input numbers are 379, 423, 86, 420

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 379, 423, 86, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 423, 86, 420 is 1.

Therefore, GCD of numbers 379, 423, 86, 420 is 1

Given Input Data is 379, 423, 86, 420

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

Prime Factorization of 379 is 379

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 86 is 2 x 43

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(379, 423) = 160317

GCD(379, 423) = ( 379 x 423 ) / 160317

GCD(379, 423) = 160317 / 160317

GCD(379, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 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 379, 423, 86, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 899, 97, 697
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1. What is the GCD of 379, 423, 86, 420?

GCD of 379, 423, 86, 420 is 1

2. Where do I get the detailed procedure to find GCD of 379, 423, 86, 420?

You can find a detailed procedure to find GCD of 379, 423, 86, 420 on our page.

3. How to find GCD of 379, 423, 86, 420 on a calculator?

You can find the GCD of 379, 423, 86, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.