GCD of 20, 474, 196, 605 Calculator

Given Input numbers are 20, 474, 196, 605

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 474

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

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 20, 474, 196, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 474, 196, 605 is 1.

Therefore, GCD of numbers 20, 474, 196, 605 is 1

Given Input Data is 20, 474, 196, 605

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 605 is 5 x 11 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(20, 474) = 4740

GCD(20, 474) = ( 20 x 474 ) / 4740

GCD(20, 474) = 9480 / 4740

GCD(20, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

GCD of 20, 474, 196, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 396, 797, 184
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• GCD of 59, 789, 517, 635
• GCD of 76, 197, 445, 848
• GCD of 46, 925, 479, 218

1. What is the GCD of 20, 474, 196, 605?

GCD of 20, 474, 196, 605 is 1

2. Where do I get the detailed procedure to find GCD of 20, 474, 196, 605?

You can find a detailed procedure to find GCD of 20, 474, 196, 605 on our page.

3. How to find GCD of 20, 474, 196, 605 on a calculator?

You can find the GCD of 20, 474, 196, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.