GCD of 144, 588, 51, 129 Calculator

Given Input numbers are 144, 588, 51, 129

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

GCD of numbers is the greatest common divisor

So, the GCD (144, 588, 51, 129) = 3.

Given numbers are 144, 588, 51, 129

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 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 51 are 3 x 17

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 144, 588, 51, 129 is 3.

Given numbers are 144, 588, 51, 129

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

Apply this formula for all numbers.

Step1:

LCM(144, 588) = 7056

GCD(144, 588) = ( 144 x 588 ) / 7056

= 144 / 588

= 144

Step2:

LCM(12, 51) = 204

GCD(12, 51) = ( 12 x 51 ) / 204

= 12 / 51

= 12

Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

So, Greatest Common Divisor of 144, 588, 51, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 898, 82, 338
• GCD of 467, 445, 81, 300
• GCD of 390, 915, 24, 321
• GCD of 267, 188, 93, 750
• GCD of 271, 345, 75, 679

Given numbers are 144, 588, 51, 129
The greatest common divisor of numbers 144, 588, 51, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 588, 51, 129 is 3.

1. What is the GCD of 144, 588, 51, 129?

GCD of given numbers 144, 588, 51, 129 is 3

2. How to calculate the greatest common divisor of 144, 588, 51, 129?

We can find the highest common divisor of 144, 588, 51, 129 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, 588, 51, 129 i.e 3.

3. How can I use the GCD of 144, 588, 51, 129Calculator?

Out the numbers 144, 588, 51, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.