GCD of 415, 420, 82, 993 Calculator

Given Input numbers are 415, 420, 82, 993

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

Divisors of 415

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

1, 5, 83, 415

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 415, 420, 82, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 420, 82, 993 is 1.

Therefore, GCD of numbers 415, 420, 82, 993 is 1

Given Input Data is 415, 420, 82, 993

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

Prime Factorization of 415 is 5 x 83

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 993 is 3 x 331

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(415, 420) = 34860

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

GCD(415, 420) = 174300 / 34860

GCD(415, 420) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 82

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

LCM(5, 82) = 410

GCD(5, 82) = ( 5 x 82 ) / 410

GCD(5, 82) = 410 / 410

GCD(5, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 415, 420, 82, 993 is 1

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1. What is the GCD of 415, 420, 82, 993?

GCD of 415, 420, 82, 993 is 1

2. Where do I get the detailed procedure to find GCD of 415, 420, 82, 993?

You can find a detailed procedure to find GCD of 415, 420, 82, 993 on our page.

3. How to find GCD of 415, 420, 82, 993 on a calculator?

You can find the GCD of 415, 420, 82, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.