GCD of 774, 288, 561, 549 Calculator

Given Input numbers are 774, 288, 561, 549

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (774, 288, 561, 549) = 3.

Given numbers are 774, 288, 561, 549

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

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

Prime factors of 561 are 3 x 11 x 17

Prime factors of 549 are 3 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 774, 288, 561, 549 is 3.

Given numbers are 774, 288, 561, 549

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

Apply this formula for all numbers.

Step1:

LCM(774, 288) = 12384

GCD(774, 288) = ( 774 x 288 ) / 12384

= 774 / 288

= 774

Step2:

LCM(18, 561) = 3366

GCD(18, 561) = ( 18 x 561 ) / 3366

= 18 / 561

= 18

Step3:

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

= 3 / 549

= 3

So, Greatest Common Divisor of 774, 288, 561, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 565, 822, 414
• GCD of 107, 949, 361, 441
• GCD of 961, 611, 709, 332
• GCD of 751, 222, 169, 912
• GCD of 709, 328, 535, 127

Given numbers are 774, 288, 561, 549
The greatest common divisor of numbers 774, 288, 561, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 288, 561, 549 is 3.

1. What is the GCD of 774, 288, 561, 549?

GCD of given numbers 774, 288, 561, 549 is 3

2. How to calculate the greatest common divisor of 774, 288, 561, 549?

We can find the highest common divisor of 774, 288, 561, 549 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 774, 288, 561, 549 i.e 3.

3. How can I use the GCD of 774, 288, 561, 549Calculator?

Out the numbers 774, 288, 561, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.