GCD of 415, 188, 746, 990 Calculator

Given Input numbers are 415, 188, 746, 990

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 415, 188, 746, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 188, 746, 990 is 1.

Therefore, GCD of numbers 415, 188, 746, 990 is 1

Given Input Data is 415, 188, 746, 990

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 746 is 2 x 373

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 188) = 78020

GCD(415, 188) = ( 415 x 188 ) / 78020

GCD(415, 188) = 78020 / 78020

GCD(415, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 415, 188, 746, 990 is 1

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1. What is the GCD of 415, 188, 746, 990?

GCD of 415, 188, 746, 990 is 1

2. Where do I get the detailed procedure to find GCD of 415, 188, 746, 990?

You can find a detailed procedure to find GCD of 415, 188, 746, 990 on our page.

3. How to find GCD of 415, 188, 746, 990 on a calculator?

You can find the GCD of 415, 188, 746, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.