GCD of 462, 645, 876 Calculator

Given Input numbers are 462, 645, 876

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (462, 645, 876) = 3.

Given numbers are 462, 645, 876

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 462, 645, 876 is 3.

Given numbers are 462, 645, 876

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

Apply this formula for all numbers.

Step1:

LCM(462, 645) = 99330

GCD(462, 645) = ( 462 x 645 ) / 99330

= 462 / 645

= 462

Step2:

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

= 3 / 876

= 3

So, Greatest Common Divisor of 462, 645, 876 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 723, 839
• GCD of 119, 767, 803
• GCD of 527, 977, 984
• GCD of 234, 484, 163
• GCD of 285, 190, 929

Given numbers are 462, 645, 876
The greatest common divisor of numbers 462, 645, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 645, 876 is 3.

1. What is the GCD of 462, 645, 876?

GCD of given numbers 462, 645, 876 is 3

2. How to calculate the greatest common divisor of 462, 645, 876?

We can find the highest common divisor of 462, 645, 876 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, 645, 876 i.e 3.

3. How can I use the GCD of 462, 645, 876Calculator?

Out the numbers 462, 645, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.