GCD of 420, 415, 28 Calculator

Given Input numbers are 420, 415, 28

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 420, 415, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 415, 28 is 1.

Therefore, GCD of numbers 420, 415, 28 is 1

Given Input Data is 420, 415, 28

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 415 is 5 x 83

Prime Factorization of 28 is 2 x 2 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(420, 415) = 34860

GCD(420, 415) = ( 420 x 415 ) / 34860

GCD(420, 415) = 174300 / 34860

GCD(420, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 28

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

LCM(5, 28) = 140

GCD(5, 28) = ( 5 x 28 ) / 140

GCD(5, 28) = 140 / 140

GCD(5, 28) = 1

GCD of 420, 415, 28 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 706, 70
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• GCD of 930, 349, 99
• GCD of 683, 813, 67
• GCD of 958, 790, 26

1. What is the GCD of 420, 415, 28?

GCD of 420, 415, 28 is 1

2. Where do I get the detailed procedure to find GCD of 420, 415, 28?

You can find a detailed procedure to find GCD of 420, 415, 28 on our page.

3. How to find GCD of 420, 415, 28 on a calculator?

You can find the GCD of 420, 415, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.