GCD of 420, 636, 14, 429 Calculator

Given Input numbers are 420, 636, 14, 429

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

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 420, 636, 14, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 636, 14, 429 is 1.

Therefore, GCD of numbers 420, 636, 14, 429 is 1

Given Input Data is 420, 636, 14, 429

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

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 429 is 3 x 11 x 13

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(420, 636) = 22260

GCD(420, 636) = ( 420 x 636 ) / 22260

GCD(420, 636) = 267120 / 22260

GCD(420, 636) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 14

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

LCM(12, 14) = 84

GCD(12, 14) = ( 12 x 14 ) / 84

GCD(12, 14) = 168 / 84

GCD(12, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 429

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

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

GCD(2, 429) = 858 / 858

GCD(2, 429) = 1

GCD of 420, 636, 14, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 400, 98, 622
• GCD of 521, 373, 46, 507
• GCD of 310, 164, 18, 741
• GCD of 630, 958, 73, 765
• GCD of 386, 725, 34, 862

1. What is the GCD of 420, 636, 14, 429?

GCD of 420, 636, 14, 429 is 1

2. Where do I get the detailed procedure to find GCD of 420, 636, 14, 429?

You can find a detailed procedure to find GCD of 420, 636, 14, 429 on our page.

3. How to find GCD of 420, 636, 14, 429 on a calculator?

You can find the GCD of 420, 636, 14, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.