Online GCD Calculator is useful to find the GCD of 990, 382, 853, 972 quickly. Get the easiest ways to solve the greatest common divisor of 990, 382, 853, 972 i.e 1 in different methods as follows.
Given Input numbers are 990, 382, 853, 972
In the factoring method, we have to find the divisors of all numbers
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 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 853 :
The positive integer divisors of 853 that completely divides 853 are.
1, 853
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (990, 382, 853, 972) = 1.
Given numbers are 990, 382, 853, 972
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 382 are 2 x 191
Prime factors of 853 are 853
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 382, 853, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 382) = 189090
GCD(990, 382) = ( 990 x 382 ) / 189090
= 990 / 382
= 990
Step2:
LCM(2, 853) = 1706
GCD(2, 853) = ( 2 x 853 ) / 1706
= 2 / 853
= 2
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 990, 382, 853, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 382, 853, 972
The greatest common divisor of numbers 990, 382, 853, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 382, 853, 972 is 1.
1. What is the GCD of 990, 382, 853, 972?
GCD of given numbers 990, 382, 853, 972 is 1
2. How to calculate the greatest common divisor of 990, 382, 853, 972?
We can find the highest common divisor of 990, 382, 853, 972 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 990, 382, 853, 972 i.e 1.
3. How can I use the GCD of 990, 382, 853, 972Calculator?
Out the numbers 990, 382, 853, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.