GCD of 144, 513, 858, 580 Calculator

Given Input numbers are 144, 513, 858, 580

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (144, 513, 858, 580) = 1.

Given numbers are 144, 513, 858, 580

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 513 are 3 x 3 x 3 x 19

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 580 are 2 x 2 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 513, 858, 580

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

Apply this formula for all numbers.

Step1:

LCM(144, 513) = 8208

GCD(144, 513) = ( 144 x 513 ) / 8208

= 144 / 513

= 144

Step2:

LCM(9, 858) = 2574

GCD(9, 858) = ( 9 x 858 ) / 2574

= 9 / 858

= 9

Step3:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3

So, Greatest Common Divisor of 144, 513, 858, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 709, 157, 268
• GCD of 705, 777, 480, 773
• GCD of 343, 601, 533, 234
• GCD of 685, 670, 587, 189
• GCD of 195, 339, 872, 594

Given numbers are 144, 513, 858, 580
The greatest common divisor of numbers 144, 513, 858, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 513, 858, 580 is 1.

1. What is the GCD of 144, 513, 858, 580?

GCD of given numbers 144, 513, 858, 580 is 1

2. How to calculate the greatest common divisor of 144, 513, 858, 580?

We can find the highest common divisor of 144, 513, 858, 580 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, 513, 858, 580 i.e 1.

3. How can I use the GCD of 144, 513, 858, 580Calculator?

Out the numbers 144, 513, 858, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.