GCD of 796, 272, 490, 990 Calculator

Given Input numbers are 796, 272, 490, 990

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (796, 272, 490, 990) = 2.

Given numbers are 796, 272, 490, 990

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 796, 272, 490, 990 is 2.

Given numbers are 796, 272, 490, 990

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

Apply this formula for all numbers.

Step1:

LCM(796, 272) = 54128

GCD(796, 272) = ( 796 x 272 ) / 54128

= 796 / 272

= 796

Step2:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 796, 272, 490, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 225, 199, 774
• GCD of 621, 506, 160, 504
• GCD of 501, 253, 744, 179
• GCD of 750, 610, 868, 898
• GCD of 757, 200, 123, 466

Given numbers are 796, 272, 490, 990
The greatest common divisor of numbers 796, 272, 490, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 272, 490, 990 is 2.

1. What is the GCD of 796, 272, 490, 990?

GCD of given numbers 796, 272, 490, 990 is 2

2. How to calculate the greatest common divisor of 796, 272, 490, 990?

We can find the highest common divisor of 796, 272, 490, 990 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 796, 272, 490, 990 i.e 2.

3. How can I use the GCD of 796, 272, 490, 990Calculator?

Out the numbers 796, 272, 490, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.