GCD of 144, 252, 434, 390 Calculator

Given Input numbers are 144, 252, 434, 390

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (144, 252, 434, 390) = 2.

Given numbers are 144, 252, 434, 390

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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 434 are 2 x 7 x 31

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 144, 252, 434, 390 is 2.

Given numbers are 144, 252, 434, 390

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

Apply this formula for all numbers.

Step1:

LCM(144, 252) = 1008

GCD(144, 252) = ( 144 x 252 ) / 1008

= 144 / 252

= 144

Step2:

LCM(36, 434) = 7812

GCD(36, 434) = ( 36 x 434 ) / 7812

= 36 / 434

= 36

Step3:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

So, Greatest Common Divisor of 144, 252, 434, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 501, 777, 660
• GCD of 187, 515, 719, 311
• GCD of 417, 310, 401, 519
• GCD of 798, 719, 705, 582
• GCD of 619, 751, 332, 812

Given numbers are 144, 252, 434, 390
The greatest common divisor of numbers 144, 252, 434, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 252, 434, 390 is 2.

1. What is the GCD of 144, 252, 434, 390?

GCD of given numbers 144, 252, 434, 390 is 2

2. How to calculate the greatest common divisor of 144, 252, 434, 390?

We can find the highest common divisor of 144, 252, 434, 390 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, 252, 434, 390 i.e 2.

3. How can I use the GCD of 144, 252, 434, 390Calculator?

Out the numbers 144, 252, 434, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.