GCD of 490, 396, 506 Calculator

Given Input numbers are 490, 396, 506

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

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 506 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (490, 396, 506) = 2.

Given numbers are 490, 396, 506

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 490, 396, 506 is 2.

Given numbers are 490, 396, 506

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

Apply this formula for all numbers.

Step1:

LCM(490, 396) = 97020

GCD(490, 396) = ( 490 x 396 ) / 97020

= 490 / 396

= 490

Step2:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 490, 396, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 113, 387
• GCD of 997, 629, 608
• GCD of 547, 509, 962
• GCD of 932, 474, 414
• GCD of 477, 398, 246

Given numbers are 490, 396, 506
The greatest common divisor of numbers 490, 396, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 396, 506 is 2.

1. What is the GCD of 490, 396, 506?

GCD of given numbers 490, 396, 506 is 2

2. How to calculate the greatest common divisor of 490, 396, 506?

We can find the highest common divisor of 490, 396, 506 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 490, 396, 506 i.e 2.

3. How can I use the GCD of 490, 396, 506Calculator?

Out the numbers 490, 396, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.