GCD of 290, 496, 21, 469 Calculator

Given Input numbers are 290, 496, 21, 469

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 290, 496, 21, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 496, 21, 469 is 1.

Therefore, GCD of numbers 290, 496, 21, 469 is 1

Given Input Data is 290, 496, 21, 469

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 469 is 7 x 67

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(290, 496) = 71920

GCD(290, 496) = ( 290 x 496 ) / 71920

GCD(290, 496) = 143840 / 71920

GCD(290, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 290, 496, 21, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 700, 67, 133
• GCD of 458, 575, 57, 840
• GCD of 554, 855, 34, 798
• GCD of 232, 591, 35, 956
• GCD of 781, 975, 66, 601

1. What is the GCD of 290, 496, 21, 469?

GCD of 290, 496, 21, 469 is 1

2. Where do I get the detailed procedure to find GCD of 290, 496, 21, 469?

You can find a detailed procedure to find GCD of 290, 496, 21, 469 on our page.

3. How to find GCD of 290, 496, 21, 469 on a calculator?

You can find the GCD of 290, 496, 21, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.