GCD of 452, 564, 864, 308 Calculator

Given Input numbers are 452, 564, 864, 308

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (452, 564, 864, 308) = 4.

Given numbers are 452, 564, 864, 308

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 452, 564, 864, 308 is 4.

Given numbers are 452, 564, 864, 308

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

Apply this formula for all numbers.

Step1:

LCM(452, 564) = 63732

GCD(452, 564) = ( 452 x 564 ) / 63732

= 452 / 564

= 452

Step2:

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

= 4 / 864

= 4

Step3:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4

So, Greatest Common Divisor of 452, 564, 864, 308 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 169, 783, 250
• GCD of 676, 827, 499, 362
• GCD of 508, 705, 789, 801
• GCD of 687, 633, 744, 536
• GCD of 274, 979, 189, 303

Given numbers are 452, 564, 864, 308
The greatest common divisor of numbers 452, 564, 864, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 564, 864, 308 is 4.

1. What is the GCD of 452, 564, 864, 308?

GCD of given numbers 452, 564, 864, 308 is 4

2. How to calculate the greatest common divisor of 452, 564, 864, 308?

We can find the highest common divisor of 452, 564, 864, 308 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 452, 564, 864, 308 i.e 4.

3. How can I use the GCD of 452, 564, 864, 308Calculator?

Out the numbers 452, 564, 864, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.