GCD of 484, 468, 774, 144 Calculator

Given Input numbers are 484, 468, 774, 144

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (484, 468, 774, 144) = 2.

Given numbers are 484, 468, 774, 144

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 484, 468, 774, 144 is 2.

Given numbers are 484, 468, 774, 144

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

Apply this formula for all numbers.

Step1:

LCM(484, 468) = 56628

GCD(484, 468) = ( 484 x 468 ) / 56628

= 484 / 468

= 484

Step2:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 484, 468, 774, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 122, 445, 581
• GCD of 808, 672, 906, 612
• GCD of 863, 661, 340, 913
• GCD of 484, 727, 152, 843
• GCD of 702, 251, 844, 757

Given numbers are 484, 468, 774, 144
The greatest common divisor of numbers 484, 468, 774, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 468, 774, 144 is 2.

1. What is the GCD of 484, 468, 774, 144?

GCD of given numbers 484, 468, 774, 144 is 2

2. How to calculate the greatest common divisor of 484, 468, 774, 144?

We can find the highest common divisor of 484, 468, 774, 144 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 484, 468, 774, 144 i.e 2.

3. How can I use the GCD of 484, 468, 774, 144Calculator?

Out the numbers 484, 468, 774, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.