GCD of 226, 532, 852, 966 Calculator

Given Input numbers are 226, 532, 852, 966

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (226, 532, 852, 966) = 2.

Given numbers are 226, 532, 852, 966

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 226, 532, 852, 966 is 2.

Given numbers are 226, 532, 852, 966

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

Apply this formula for all numbers.

Step1:

LCM(226, 532) = 60116

GCD(226, 532) = ( 226 x 532 ) / 60116

= 226 / 532

= 226

Step2:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 226, 532, 852, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 605, 247, 306
• GCD of 414, 357, 523, 816
• GCD of 624, 258, 417, 886
• GCD of 586, 148, 536, 794
• GCD of 366, 645, 787, 321

Given numbers are 226, 532, 852, 966
The greatest common divisor of numbers 226, 532, 852, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 532, 852, 966 is 2.

1. What is the GCD of 226, 532, 852, 966?

GCD of given numbers 226, 532, 852, 966 is 2

2. How to calculate the greatest common divisor of 226, 532, 852, 966?

We can find the highest common divisor of 226, 532, 852, 966 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 226, 532, 852, 966 i.e 2.

3. How can I use the GCD of 226, 532, 852, 966Calculator?

Out the numbers 226, 532, 852, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.