GCD of 520, 309, 472, 144 Calculator

Given Input numbers are 520, 309, 472, 144

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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 (520, 309, 472, 144) = 1.

Given numbers are 520, 309, 472, 144

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 309 are 3 x 103

Prime factors of 472 are 2 x 2 x 2 x 59

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

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

Given numbers are 520, 309, 472, 144

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

Apply this formula for all numbers.

Step1:

LCM(520, 309) = 160680

GCD(520, 309) = ( 520 x 309 ) / 160680

= 520 / 309

= 520

Step2:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 520, 309, 472, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 606, 820, 573
• GCD of 753, 892, 173, 376
• GCD of 347, 354, 163, 926
• GCD of 131, 644, 595, 977
• GCD of 975, 922, 619, 450

Given numbers are 520, 309, 472, 144
The greatest common divisor of numbers 520, 309, 472, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 309, 472, 144 is 1.

1. What is the GCD of 520, 309, 472, 144?

GCD of given numbers 520, 309, 472, 144 is 1

2. How to calculate the greatest common divisor of 520, 309, 472, 144?

We can find the highest common divisor of 520, 309, 472, 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 520, 309, 472, 144 i.e 1.

3. How can I use the GCD of 520, 309, 472, 144Calculator?

Out the numbers 520, 309, 472, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.