GCD of 509, 528, 533, 382 Calculator

Given Input numbers are 509, 528, 533, 382

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 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (509, 528, 533, 382) = 1.

Given numbers are 509, 528, 533, 382

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 533 are 13 x 41

Prime factors of 382 are 2 x 191

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

Given numbers are 509, 528, 533, 382

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

Apply this formula for all numbers.

Step1:

LCM(509, 528) = 268752

GCD(509, 528) = ( 509 x 528 ) / 268752

= 509 / 528

= 509

Step2:

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

= 1 / 533

= 1

Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

So, Greatest Common Divisor of 509, 528, 533, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 585, 527, 954
• GCD of 192, 549, 853, 755
• GCD of 794, 816, 220, 517
• GCD of 664, 502, 687, 797
• GCD of 498, 677, 686, 305

Given numbers are 509, 528, 533, 382
The greatest common divisor of numbers 509, 528, 533, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 528, 533, 382 is 1.

1. What is the GCD of 509, 528, 533, 382?

GCD of given numbers 509, 528, 533, 382 is 1

2. How to calculate the greatest common divisor of 509, 528, 533, 382?

We can find the highest common divisor of 509, 528, 533, 382 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, 528, 533, 382 i.e 1.

3. How can I use the GCD of 509, 528, 533, 382Calculator?

Out the numbers 509, 528, 533, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.