GCD of 820, 828, 706, 521 Calculator

Given Input numbers are 820, 828, 706, 521

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

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (820, 828, 706, 521) = 1.

Given numbers are 820, 828, 706, 521

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 706 are 2 x 353

Prime factors of 521 are 521

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

Given numbers are 820, 828, 706, 521

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

Apply this formula for all numbers.

Step1:

LCM(820, 828) = 169740

GCD(820, 828) = ( 820 x 828 ) / 169740

= 820 / 828

= 820

Step2:

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

= 4 / 706

= 4

Step3:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2

So, Greatest Common Divisor of 820, 828, 706, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 208, 820, 173
• GCD of 852, 513, 359, 146
• GCD of 374, 854, 236, 795
• GCD of 260, 681, 813, 333
• GCD of 691, 439, 544, 318

Given numbers are 820, 828, 706, 521
The greatest common divisor of numbers 820, 828, 706, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 828, 706, 521 is 1.

1. What is the GCD of 820, 828, 706, 521?

GCD of given numbers 820, 828, 706, 521 is 1

2. How to calculate the greatest common divisor of 820, 828, 706, 521?

We can find the highest common divisor of 820, 828, 706, 521 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 820, 828, 706, 521 i.e 1.

3. How can I use the GCD of 820, 828, 706, 521Calculator?

Out the numbers 820, 828, 706, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.