GCD of 204, 464, 618, 654 Calculator

Given Input numbers are 204, 464, 618, 654

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

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 618 :

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

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (204, 464, 618, 654) = 2.

Given numbers are 204, 464, 618, 654

The list of prime factors of all numbers are

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 618 are 2 x 3 x 103

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 204, 464, 618, 654 is 2.

Given numbers are 204, 464, 618, 654

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

Apply this formula for all numbers.

Step1:

LCM(204, 464) = 23664

GCD(204, 464) = ( 204 x 464 ) / 23664

= 204 / 464

= 204

Step2:

LCM(4, 618) = 1236

GCD(4, 618) = ( 4 x 618 ) / 1236

= 4 / 618

= 4

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 204, 464, 618, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 788, 887, 241
• GCD of 651, 975, 431, 121
• GCD of 479, 103, 107, 863
• GCD of 938, 327, 431, 321
• GCD of 845, 100, 455, 223

Given numbers are 204, 464, 618, 654
The greatest common divisor of numbers 204, 464, 618, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 464, 618, 654 is 2.

1. What is the GCD of 204, 464, 618, 654?

GCD of given numbers 204, 464, 618, 654 is 2

2. How to calculate the greatest common divisor of 204, 464, 618, 654?

We can find the highest common divisor of 204, 464, 618, 654 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 204, 464, 618, 654 i.e 2.

3. How can I use the GCD of 204, 464, 618, 654Calculator?

Out the numbers 204, 464, 618, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.