GCD of 415, 788, 940, 474 Calculator

Given Input numbers are 415, 788, 940, 474

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 415, 788, 940, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 788, 940, 474 is 1.

Therefore, GCD of numbers 415, 788, 940, 474 is 1

Given Input Data is 415, 788, 940, 474

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 474 is 2 x 3 x 79

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, 788) = 327020

GCD(415, 788) = ( 415 x 788 ) / 327020

GCD(415, 788) = 327020 / 327020

GCD(415, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 415, 788, 940, 474 is 1

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1. What is the GCD of 415, 788, 940, 474?

GCD of 415, 788, 940, 474 is 1

2. Where do I get the detailed procedure to find GCD of 415, 788, 940, 474?

You can find a detailed procedure to find GCD of 415, 788, 940, 474 on our page.

3. How to find GCD of 415, 788, 940, 474 on a calculator?

You can find the GCD of 415, 788, 940, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.