GCD of 365, 392, 513, 509 Calculator

Given Input numbers are 365, 392, 513, 509

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 513 :

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

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (365, 392, 513, 509) = 1.

Given numbers are 365, 392, 513, 509

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 509 are 509

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

Given numbers are 365, 392, 513, 509

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

Apply this formula for all numbers.

Step1:

LCM(365, 392) = 143080

GCD(365, 392) = ( 365 x 392 ) / 143080

= 365 / 392

= 365

Step2:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 365, 392, 513, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 490, 170, 610
• GCD of 117, 939, 363, 854
• GCD of 424, 760, 143, 897
• GCD of 959, 304, 934, 872
• GCD of 139, 748, 115, 464

Given numbers are 365, 392, 513, 509
The greatest common divisor of numbers 365, 392, 513, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 392, 513, 509 is 1.

1. What is the GCD of 365, 392, 513, 509?

GCD of given numbers 365, 392, 513, 509 is 1

2. How to calculate the greatest common divisor of 365, 392, 513, 509?

We can find the highest common divisor of 365, 392, 513, 509 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 365, 392, 513, 509 i.e 1.

3. How can I use the GCD of 365, 392, 513, 509Calculator?

Out the numbers 365, 392, 513, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.