GCD of 468, 102, 477, 894 Calculator

Given Input numbers are 468, 102, 477, 894

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (468, 102, 477, 894) = 3.

Given numbers are 468, 102, 477, 894

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 102 are 2 x 3 x 17

Prime factors of 477 are 3 x 3 x 53

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 3¹

Therefore, GCD of 468, 102, 477, 894 is 3.

Given numbers are 468, 102, 477, 894

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

Apply this formula for all numbers.

Step1:

LCM(468, 102) = 7956

GCD(468, 102) = ( 468 x 102 ) / 7956

= 468 / 102

= 468

Step2:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6

Step3:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3

So, Greatest Common Divisor of 468, 102, 477, 894 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 635, 481, 254
• GCD of 849, 178, 998, 500
• GCD of 192, 397, 627, 246
• GCD of 482, 758, 770, 570
• GCD of 259, 878, 162, 764

Given numbers are 468, 102, 477, 894
The greatest common divisor of numbers 468, 102, 477, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 102, 477, 894 is 3.

1. What is the GCD of 468, 102, 477, 894?

GCD of given numbers 468, 102, 477, 894 is 3

2. How to calculate the greatest common divisor of 468, 102, 477, 894?

We can find the highest common divisor of 468, 102, 477, 894 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 468, 102, 477, 894 i.e 3.

3. How can I use the GCD of 468, 102, 477, 894Calculator?

Out the numbers 468, 102, 477, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.