GCD of 509, 780, 21, 795 Calculator

Given Input numbers are 509, 780, 21, 795

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

GCD of numbers is the greatest common divisor

So, the GCD (509, 780, 21, 795) = 1.

Given numbers are 509, 780, 21, 795

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 21 are 3 x 7

Prime factors of 795 are 3 x 5 x 53

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

Given numbers are 509, 780, 21, 795

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

Apply this formula for all numbers.

Step1:

LCM(509, 780) = 397020

GCD(509, 780) = ( 509 x 780 ) / 397020

= 509 / 780

= 509

Step2:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

Step3:

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

= 1 / 795

= 1

So, Greatest Common Divisor of 509, 780, 21, 795 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 628, 72, 875
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• GCD of 572, 959, 46, 256
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Given numbers are 509, 780, 21, 795
The greatest common divisor of numbers 509, 780, 21, 795 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 780, 21, 795 is 1.

1. What is the GCD of 509, 780, 21, 795?

GCD of given numbers 509, 780, 21, 795 is 1

2. How to calculate the greatest common divisor of 509, 780, 21, 795?

We can find the highest common divisor of 509, 780, 21, 795 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, 780, 21, 795 i.e 1.

3. How can I use the GCD of 509, 780, 21, 795Calculator?

Out the numbers 509, 780, 21, 795 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.