Online GCD Calculator is useful to find the GCD of 821, 472, 820, 990 quickly. Get the easiest ways to solve the greatest common divisor of 821, 472, 820, 990 i.e 1 in different methods as follows.
Given Input numbers are 821, 472, 820, 990
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 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
GCD of numbers is the greatest common divisor
So, the GCD (821, 472, 820, 990) = 1.
Given numbers are 821, 472, 820, 990
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 472, 820, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 472) = 387512
GCD(821, 472) = ( 821 x 472 ) / 387512
= 821 / 472
= 821
Step2:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 821, 472, 820, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 472, 820, 990
The greatest common divisor of numbers 821, 472, 820, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 472, 820, 990 is 1.
1. What is the GCD of 821, 472, 820, 990?
GCD of given numbers 821, 472, 820, 990 is 1
2. How to calculate the greatest common divisor of 821, 472, 820, 990?
We can find the highest common divisor of 821, 472, 820, 990 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, 472, 820, 990 i.e 1.
3. How can I use the GCD of 821, 472, 820, 990Calculator?
Out the numbers 821, 472, 820, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.