GCD of 468, 900, 264, 618 Calculator

Given Input numbers are 468, 900, 264, 618

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (468, 900, 264, 618) = 6.

Given numbers are 468, 900, 264, 618

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 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 468, 900, 264, 618 is 6.

Given numbers are 468, 900, 264, 618

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

Apply this formula for all numbers.

Step1:

LCM(468, 900) = 11700

GCD(468, 900) = ( 468 x 900 ) / 11700

= 468 / 900

= 468

Step2:

LCM(36, 264) = 792

GCD(36, 264) = ( 36 x 264 ) / 792

= 36 / 264

= 36

Step3:

LCM(12, 618) = 1236

GCD(12, 618) = ( 12 x 618 ) / 1236

= 12 / 618

= 12

So, Greatest Common Divisor of 468, 900, 264, 618 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 104, 101, 310
• GCD of 373, 726, 190, 137
• GCD of 470, 642, 632, 573
• GCD of 811, 231, 198, 960
• GCD of 903, 917, 809, 150

Given numbers are 468, 900, 264, 618
The greatest common divisor of numbers 468, 900, 264, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 900, 264, 618 is 6.

1. What is the GCD of 468, 900, 264, 618?

GCD of given numbers 468, 900, 264, 618 is 6

2. How to calculate the greatest common divisor of 468, 900, 264, 618?

We can find the highest common divisor of 468, 900, 264, 618 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, 900, 264, 618 i.e 6.

3. How can I use the GCD of 468, 900, 264, 618Calculator?

Out the numbers 468, 900, 264, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.