GCD of 821, 922, 990, 728 Calculator

Given Input numbers are 821, 922, 990, 728

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

GCD of numbers is the greatest common divisor

So, the GCD (821, 922, 990, 728) = 1.

Given numbers are 821, 922, 990, 728

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 922 are 2 x 461

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

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

Given numbers are 821, 922, 990, 728

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

Apply this formula for all numbers.

Step1:

LCM(821, 922) = 756962

GCD(821, 922) = ( 821 x 922 ) / 756962

= 821 / 922

= 821

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1

So, Greatest Common Divisor of 821, 922, 990, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 324, 721, 861
• GCD of 619, 349, 941, 980
• GCD of 329, 804, 385, 828
• GCD of 462, 604, 156, 773
• GCD of 946, 650, 971, 249

Given numbers are 821, 922, 990, 728
The greatest common divisor of numbers 821, 922, 990, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 922, 990, 728 is 1.

1. What is the GCD of 821, 922, 990, 728?

GCD of given numbers 821, 922, 990, 728 is 1

2. How to calculate the greatest common divisor of 821, 922, 990, 728?

We can find the highest common divisor of 821, 922, 990, 728 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 821, 922, 990, 728 i.e 1.

3. How can I use the GCD of 821, 922, 990, 728Calculator?

Out the numbers 821, 922, 990, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.