GCD of 506, 490, 22, 289 Calculator

Given Input numbers are 506, 490, 22, 289

In the factoring method, we have to find the divisors of all numbers

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (506, 490, 22, 289) = 1.

Given numbers are 506, 490, 22, 289

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 22 are 2 x 11

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 506, 490, 22, 289

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(506, 490) = 123970

GCD(506, 490) = ( 506 x 490 ) / 123970

= 506 / 490

= 506

Step2:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2

Step3:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

So, Greatest Common Divisor of 506, 490, 22, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 294, 15, 551
• GCD of 926, 368, 13, 776
• GCD of 215, 613, 11, 549
• GCD of 192, 365, 75, 679
• GCD of 428, 998, 49, 111

Given numbers are 506, 490, 22, 289
The greatest common divisor of numbers 506, 490, 22, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 490, 22, 289 is 1.

1. What is the GCD of 506, 490, 22, 289?

GCD of given numbers 506, 490, 22, 289 is 1

2. How to calculate the greatest common divisor of 506, 490, 22, 289?

We can find the highest common divisor of 506, 490, 22, 289 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 506, 490, 22, 289 i.e 1.

3. How can I use the GCD of 506, 490, 22, 289Calculator?

Out the numbers 506, 490, 22, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.