GCD of 512, 361, 948, 509 Calculator

Given Input numbers are 512, 361, 948, 509

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 (512, 361, 948, 509) = 1.

Given numbers are 512, 361, 948, 509

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 361 are 19 x 19

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 509 are 509

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

Given numbers are 512, 361, 948, 509

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

Apply this formula for all numbers.

Step1:

LCM(512, 361) = 184832

GCD(512, 361) = ( 512 x 361 ) / 184832

= 512 / 361

= 512

Step2:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1

Step3:

LCM(1, 509) = 509

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

= 1 / 509

= 1

So, Greatest Common Divisor of 512, 361, 948, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 379, 868, 133
• GCD of 702, 657, 723, 948
• GCD of 386, 303, 196, 442
• GCD of 600, 922, 646, 245
• GCD of 873, 700, 225, 838

Given numbers are 512, 361, 948, 509
The greatest common divisor of numbers 512, 361, 948, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 361, 948, 509 is 1.

1. What is the GCD of 512, 361, 948, 509?

GCD of given numbers 512, 361, 948, 509 is 1

2. How to calculate the greatest common divisor of 512, 361, 948, 509?

We can find the highest common divisor of 512, 361, 948, 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 512, 361, 948, 509 i.e 1.

3. How can I use the GCD of 512, 361, 948, 509Calculator?

Out the numbers 512, 361, 948, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.