GCD of 530, 805, 820, 509 Calculator

Given Input numbers are 530, 805, 820, 509

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 (530, 805, 820, 509) = 1.

Given numbers are 530, 805, 820, 509

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 805 are 5 x 7 x 23

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 509 are 509

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

Given numbers are 530, 805, 820, 509

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

Apply this formula for all numbers.

Step1:

LCM(530, 805) = 85330

GCD(530, 805) = ( 530 x 805 ) / 85330

= 530 / 805

= 530

Step2:

LCM(5, 820) = 820

GCD(5, 820) = ( 5 x 820 ) / 820

= 5 / 820

= 5

Step3:

LCM(5, 509) = 2545

GCD(5, 509) = ( 5 x 509 ) / 2545

= 5 / 509

= 5

So, Greatest Common Divisor of 530, 805, 820, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 959, 191, 861
• GCD of 246, 618, 969, 480
• GCD of 345, 636, 184, 620
• GCD of 222, 283, 482, 713
• GCD of 404, 336, 956, 495

Given numbers are 530, 805, 820, 509
The greatest common divisor of numbers 530, 805, 820, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 805, 820, 509 is 1.

1. What is the GCD of 530, 805, 820, 509?

GCD of given numbers 530, 805, 820, 509 is 1

2. How to calculate the greatest common divisor of 530, 805, 820, 509?

We can find the highest common divisor of 530, 805, 820, 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 530, 805, 820, 509 i.e 1.

3. How can I use the GCD of 530, 805, 820, 509Calculator?

Out the numbers 530, 805, 820, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.