GCD of 509, 796, 822, 780 Calculator

Given Input numbers are 509, 796, 822, 780

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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

GCD of numbers is the greatest common divisor

So, the GCD (509, 796, 822, 780) = 1.

Given numbers are 509, 796, 822, 780

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 796 are 2 x 2 x 199

Prime factors of 822 are 2 x 3 x 137

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

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

Given numbers are 509, 796, 822, 780

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

Apply this formula for all numbers.

Step1:

LCM(509, 796) = 405164

GCD(509, 796) = ( 509 x 796 ) / 405164

= 509 / 796

= 509

Step2:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

So, Greatest Common Divisor of 509, 796, 822, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 981, 752, 342
• GCD of 489, 346, 765, 866
• GCD of 760, 791, 250, 872
• GCD of 880, 124, 388, 478
• GCD of 637, 714, 369, 397

Given numbers are 509, 796, 822, 780
The greatest common divisor of numbers 509, 796, 822, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 796, 822, 780 is 1.

1. What is the GCD of 509, 796, 822, 780?

GCD of given numbers 509, 796, 822, 780 is 1

2. How to calculate the greatest common divisor of 509, 796, 822, 780?

We can find the highest common divisor of 509, 796, 822, 780 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, 796, 822, 780 i.e 1.

3. How can I use the GCD of 509, 796, 822, 780Calculator?

Out the numbers 509, 796, 822, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.