GCD of 456, 261, 795, 204 Calculator

Given Input numbers are 456, 261, 795, 204

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (456, 261, 795, 204) = 3.

Given numbers are 456, 261, 795, 204

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 261 are 3 x 3 x 29

Prime factors of 795 are 3 x 5 x 53

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 456, 261, 795, 204 is 3.

Given numbers are 456, 261, 795, 204

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

Apply this formula for all numbers.

Step1:

LCM(456, 261) = 39672

GCD(456, 261) = ( 456 x 261 ) / 39672

= 456 / 261

= 456

Step2:

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

= 3 / 795

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 456, 261, 795, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 345, 367, 750
• GCD of 782, 623, 431, 551
• GCD of 243, 798, 742, 624
• GCD of 285, 911, 868, 543
• GCD of 580, 382, 206, 794

Given numbers are 456, 261, 795, 204
The greatest common divisor of numbers 456, 261, 795, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 261, 795, 204 is 3.

1. What is the GCD of 456, 261, 795, 204?

GCD of given numbers 456, 261, 795, 204 is 3

2. How to calculate the greatest common divisor of 456, 261, 795, 204?

We can find the highest common divisor of 456, 261, 795, 204 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 456, 261, 795, 204 i.e 3.

3. How can I use the GCD of 456, 261, 795, 204Calculator?

Out the numbers 456, 261, 795, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.