GCD of 966, 270, 412, 272 Calculator

Given Input numbers are 966, 270, 412, 272

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

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 272 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (966, 270, 412, 272) = 2.

Given numbers are 966, 270, 412, 272

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 412 are 2 x 2 x 103

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

The highest common occurrence is 2¹

Therefore, GCD of 966, 270, 412, 272 is 2.

Given numbers are 966, 270, 412, 272

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

Apply this formula for all numbers.

Step1:

LCM(966, 270) = 43470

GCD(966, 270) = ( 966 x 270 ) / 43470

= 966 / 270

= 966

Step2:

LCM(6, 412) = 1236

GCD(6, 412) = ( 6 x 412 ) / 1236

= 6 / 412

= 6

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 966, 270, 412, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 436, 806, 770
• GCD of 461, 166, 284, 163
• GCD of 167, 245, 624, 899
• GCD of 625, 101, 732, 288
• GCD of 778, 944, 153, 165

Given numbers are 966, 270, 412, 272
The greatest common divisor of numbers 966, 270, 412, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 270, 412, 272 is 2.

1. What is the GCD of 966, 270, 412, 272?

GCD of given numbers 966, 270, 412, 272 is 2

2. How to calculate the greatest common divisor of 966, 270, 412, 272?

We can find the highest common divisor of 966, 270, 412, 272 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 966, 270, 412, 272 i.e 2.

3. How can I use the GCD of 966, 270, 412, 272Calculator?

Out the numbers 966, 270, 412, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.