GCD of 252, 266, 656, 990 Calculator

Given Input numbers are 252, 266, 656, 990

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 (252, 266, 656, 990) = 2.

Given numbers are 252, 266, 656, 990

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 266 are 2 x 7 x 19

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 252, 266, 656, 990 is 2.

Given numbers are 252, 266, 656, 990

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

Apply this formula for all numbers.

Step1:

LCM(252, 266) = 4788

GCD(252, 266) = ( 252 x 266 ) / 4788

= 252 / 266

= 252

Step2:

LCM(14, 656) = 4592

GCD(14, 656) = ( 14 x 656 ) / 4592

= 14 / 656

= 14

Step3:

LCM(2, 990) = 990

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

= 2 / 990

= 2

So, Greatest Common Divisor of 252, 266, 656, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 401, 518, 207
• GCD of 175, 564, 131, 979
• GCD of 943, 258, 550, 273
• GCD of 217, 493, 548, 761
• GCD of 968, 334, 269, 414

Given numbers are 252, 266, 656, 990
The greatest common divisor of numbers 252, 266, 656, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 266, 656, 990 is 2.

1. What is the GCD of 252, 266, 656, 990?

GCD of given numbers 252, 266, 656, 990 is 2

2. How to calculate the greatest common divisor of 252, 266, 656, 990?

We can find the highest common divisor of 252, 266, 656, 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 252, 266, 656, 990 i.e 2.

3. How can I use the GCD of 252, 266, 656, 990Calculator?

Out the numbers 252, 266, 656, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.