GCD of 462, 802, 588, 966 Calculator

Given Input numbers are 462, 802, 588, 966

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 (462, 802, 588, 966) = 2.

Given numbers are 462, 802, 588, 966

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 802 are 2 x 401

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 462, 802, 588, 966 is 2.

Given numbers are 462, 802, 588, 966

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

Apply this formula for all numbers.

Step1:

LCM(462, 802) = 185262

GCD(462, 802) = ( 462 x 802 ) / 185262

= 462 / 802

= 462

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 966) = 966

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

= 2 / 966

= 2

So, Greatest Common Divisor of 462, 802, 588, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 114, 273, 744
• GCD of 838, 290, 271, 779
• GCD of 843, 854, 547, 199
• GCD of 660, 275, 896, 175
• GCD of 433, 776, 180, 144

Given numbers are 462, 802, 588, 966
The greatest common divisor of numbers 462, 802, 588, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 802, 588, 966 is 2.

1. What is the GCD of 462, 802, 588, 966?

GCD of given numbers 462, 802, 588, 966 is 2

2. How to calculate the greatest common divisor of 462, 802, 588, 966?

We can find the highest common divisor of 462, 802, 588, 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 462, 802, 588, 966 i.e 2.

3. How can I use the GCD of 462, 802, 588, 966Calculator?

Out the numbers 462, 802, 588, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.