GCD of 510, 409, 728, 842 Calculator

Given Input numbers are 510, 409, 728, 842

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (510, 409, 728, 842) = 1.

Given numbers are 510, 409, 728, 842

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 409 are 409

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 842 are 2 x 421

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

Given numbers are 510, 409, 728, 842

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

Apply this formula for all numbers.

Step1:

LCM(510, 409) = 208590

GCD(510, 409) = ( 510 x 409 ) / 208590

= 510 / 409

= 510

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

So, Greatest Common Divisor of 510, 409, 728, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 191, 355, 780
• GCD of 436, 694, 839, 638
• GCD of 453, 808, 914, 512
• GCD of 124, 335, 316, 333
• GCD of 853, 864, 841, 593

Given numbers are 510, 409, 728, 842
The greatest common divisor of numbers 510, 409, 728, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 409, 728, 842 is 1.

1. What is the GCD of 510, 409, 728, 842?

GCD of given numbers 510, 409, 728, 842 is 1

2. How to calculate the greatest common divisor of 510, 409, 728, 842?

We can find the highest common divisor of 510, 409, 728, 842 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 510, 409, 728, 842 i.e 1.

3. How can I use the GCD of 510, 409, 728, 842Calculator?

Out the numbers 510, 409, 728, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.