GCD of 204, 828, 60, 616 Calculator

Given Input numbers are 204, 828, 60, 616

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (204, 828, 60, 616) = 4.

Given numbers are 204, 828, 60, 616

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 204, 828, 60, 616 is 4.

Given numbers are 204, 828, 60, 616

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

Apply this formula for all numbers.

Step1:

LCM(204, 828) = 14076

GCD(204, 828) = ( 204 x 828 ) / 14076

= 204 / 828

= 204

Step2:

LCM(12, 60) = 60

GCD(12, 60) = ( 12 x 60 ) / 60

= 12 / 60

= 12

Step3:

LCM(12, 616) = 1848

GCD(12, 616) = ( 12 x 616 ) / 1848

= 12 / 616

= 12

So, Greatest Common Divisor of 204, 828, 60, 616 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 318, 89, 291
• GCD of 134, 502, 69, 262
• GCD of 186, 510, 79, 929
• GCD of 203, 856, 16, 158
• GCD of 555, 763, 93, 133

Given numbers are 204, 828, 60, 616
The greatest common divisor of numbers 204, 828, 60, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 828, 60, 616 is 4.

1. What is the GCD of 204, 828, 60, 616?

GCD of given numbers 204, 828, 60, 616 is 4

2. How to calculate the greatest common divisor of 204, 828, 60, 616?

We can find the highest common divisor of 204, 828, 60, 616 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, 828, 60, 616 i.e 4.

3. How can I use the GCD of 204, 828, 60, 616Calculator?

Out the numbers 204, 828, 60, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.