GCD of 288, 564, 528, 639 Calculator

Given Input numbers are 288, 564, 528, 639

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

GCD of numbers is the greatest common divisor

So, the GCD (288, 564, 528, 639) = 3.

Given numbers are 288, 564, 528, 639

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 639 are 3 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 288, 564, 528, 639 is 3.

Given numbers are 288, 564, 528, 639

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

Apply this formula for all numbers.

Step1:

LCM(288, 564) = 13536

GCD(288, 564) = ( 288 x 564 ) / 13536

= 288 / 564

= 288

Step2:

LCM(12, 528) = 528

GCD(12, 528) = ( 12 x 528 ) / 528

= 12 / 528

= 12

Step3:

LCM(12, 639) = 2556

GCD(12, 639) = ( 12 x 639 ) / 2556

= 12 / 639

= 12

So, Greatest Common Divisor of 288, 564, 528, 639 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 329, 973, 504
• GCD of 652, 476, 745, 774
• GCD of 916, 989, 700, 132
• GCD of 294, 880, 560, 786
• GCD of 134, 690, 379, 429

Given numbers are 288, 564, 528, 639
The greatest common divisor of numbers 288, 564, 528, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 564, 528, 639 is 3.

1. What is the GCD of 288, 564, 528, 639?

GCD of given numbers 288, 564, 528, 639 is 3

2. How to calculate the greatest common divisor of 288, 564, 528, 639?

We can find the highest common divisor of 288, 564, 528, 639 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 288, 564, 528, 639 i.e 3.

3. How can I use the GCD of 288, 564, 528, 639Calculator?

Out the numbers 288, 564, 528, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.