GCD of 616, 408, 584, 204 Calculator

Given Input numbers are 616, 408, 584, 204

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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 (616, 408, 584, 204) = 4.

Given numbers are 616, 408, 584, 204

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 584 are 2 x 2 x 2 x 73

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

The highest common occurrence is 2²

Therefore, GCD of 616, 408, 584, 204 is 4.

Given numbers are 616, 408, 584, 204

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

Apply this formula for all numbers.

Step1:

LCM(616, 408) = 31416

GCD(616, 408) = ( 616 x 408 ) / 31416

= 616 / 408

= 616

Step2:

LCM(8, 584) = 584

GCD(8, 584) = ( 8 x 584 ) / 584

= 8 / 584

= 8

Step3:

LCM(8, 204) = 408

GCD(8, 204) = ( 8 x 204 ) / 408

= 8 / 204

= 8

So, Greatest Common Divisor of 616, 408, 584, 204 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 687, 920, 290
• GCD of 519, 253, 381, 566
• GCD of 433, 625, 456, 353
• GCD of 295, 797, 865, 104
• GCD of 280, 621, 522, 520

Given numbers are 616, 408, 584, 204
The greatest common divisor of numbers 616, 408, 584, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 408, 584, 204 is 4.

1. What is the GCD of 616, 408, 584, 204?

GCD of given numbers 616, 408, 584, 204 is 4

2. How to calculate the greatest common divisor of 616, 408, 584, 204?

We can find the highest common divisor of 616, 408, 584, 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 616, 408, 584, 204 i.e 4.

3. How can I use the GCD of 616, 408, 584, 204Calculator?

Out the numbers 616, 408, 584, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.