GCD of 966, 582, 648, 176 Calculator

Given Input numbers are 966, 582, 648, 176

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (966, 582, 648, 176) = 2.

Given numbers are 966, 582, 648, 176

The list of prime factors of all numbers are

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

Prime factors of 582 are 2 x 3 x 97

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 966, 582, 648, 176 is 2.

Given numbers are 966, 582, 648, 176

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

Apply this formula for all numbers.

Step1:

LCM(966, 582) = 93702

GCD(966, 582) = ( 966 x 582 ) / 93702

= 966 / 582

= 966

Step2:

LCM(6, 648) = 648

GCD(6, 648) = ( 6 x 648 ) / 648

= 6 / 648

= 6

Step3:

LCM(6, 176) = 528

GCD(6, 176) = ( 6 x 176 ) / 528

= 6 / 176

= 6

So, Greatest Common Divisor of 966, 582, 648, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 871, 243, 545
• GCD of 638, 234, 292, 327
• GCD of 229, 131, 884, 898
• GCD of 471, 594, 461, 752
• GCD of 600, 628, 739, 776

Given numbers are 966, 582, 648, 176
The greatest common divisor of numbers 966, 582, 648, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 582, 648, 176 is 2.

1. What is the GCD of 966, 582, 648, 176?

GCD of given numbers 966, 582, 648, 176 is 2

2. How to calculate the greatest common divisor of 966, 582, 648, 176?

We can find the highest common divisor of 966, 582, 648, 176 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, 582, 648, 176 i.e 2.

3. How can I use the GCD of 966, 582, 648, 176Calculator?

Out the numbers 966, 582, 648, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.