GCD of 144, 612, 74, 624 Calculator

Given Input numbers are 144, 612, 74, 624

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

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (144, 612, 74, 624) = 2.

Given numbers are 144, 612, 74, 624

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 74 are 2 x 37

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 144, 612, 74, 624 is 2.

Given numbers are 144, 612, 74, 624

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

Apply this formula for all numbers.

Step1:

LCM(144, 612) = 2448

GCD(144, 612) = ( 144 x 612 ) / 2448

= 144 / 612

= 144

Step2:

LCM(36, 74) = 1332

GCD(36, 74) = ( 36 x 74 ) / 1332

= 36 / 74

= 36

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 144, 612, 74, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 881, 32, 816
• GCD of 131, 385, 79, 530
• GCD of 370, 815, 58, 470
• GCD of 232, 477, 82, 904
• GCD of 388, 386, 82, 966

Given numbers are 144, 612, 74, 624
The greatest common divisor of numbers 144, 612, 74, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 612, 74, 624 is 2.

1. What is the GCD of 144, 612, 74, 624?

GCD of given numbers 144, 612, 74, 624 is 2

2. How to calculate the greatest common divisor of 144, 612, 74, 624?

We can find the highest common divisor of 144, 612, 74, 624 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 144, 612, 74, 624 i.e 2.

3. How can I use the GCD of 144, 612, 74, 624Calculator?

Out the numbers 144, 612, 74, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.