GCD of 509, 104, 364 Calculator

Given Input numbers are 509, 104, 364

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

Divisors of 509 :

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

1, 509

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (509, 104, 364) = 1.

Given numbers are 509, 104, 364

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 509, 104, 364

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

Apply this formula for all numbers.

Step1:

LCM(509, 104) = 52936

GCD(509, 104) = ( 509 x 104 ) / 52936

= 509 / 104

= 509

Step2:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 509, 104, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 925, 435
• GCD of 809, 581, 198
• GCD of 925, 312, 448
• GCD of 692, 680, 680
• GCD of 128, 832, 583

Given numbers are 509, 104, 364
The greatest common divisor of numbers 509, 104, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 104, 364 is 1.

1. What is the GCD of 509, 104, 364?

GCD of given numbers 509, 104, 364 is 1

2. How to calculate the greatest common divisor of 509, 104, 364?

We can find the highest common divisor of 509, 104, 364 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 509, 104, 364 i.e 1.

3. How can I use the GCD of 509, 104, 364Calculator?

Out the numbers 509, 104, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.