GCD of 856, 729, 415, 820 Calculator

Given Input numbers are 856, 729, 415, 820

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 415 :

The positive integer divisors of 415 that completely divides 415 are.

1, 5, 83, 415

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

GCD of numbers is the greatest common divisor

So, the GCD (856, 729, 415, 820) = 1.

Given numbers are 856, 729, 415, 820

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 415 are 5 x 83

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

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

Given numbers are 856, 729, 415, 820

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

Apply this formula for all numbers.

Step1:

LCM(856, 729) = 624024

GCD(856, 729) = ( 856 x 729 ) / 624024

= 856 / 729

= 856

Step2:

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

= 1 / 415

= 1

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 856, 729, 415, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 568, 227, 139
• GCD of 313, 124, 751, 350
• GCD of 575, 747, 751, 809
• GCD of 600, 434, 266, 545
• GCD of 220, 271, 948, 189

Given numbers are 856, 729, 415, 820
The greatest common divisor of numbers 856, 729, 415, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 729, 415, 820 is 1.

1. What is the GCD of 856, 729, 415, 820?

GCD of given numbers 856, 729, 415, 820 is 1

2. How to calculate the greatest common divisor of 856, 729, 415, 820?

We can find the highest common divisor of 856, 729, 415, 820 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 856, 729, 415, 820 i.e 1.

3. How can I use the GCD of 856, 729, 415, 820Calculator?

Out the numbers 856, 729, 415, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.