Online GCD Calculator is useful to find the GCD of 993, 195, 441, 972 quickly. Get the easiest ways to solve the greatest common divisor of 993, 195, 441, 972 i.e 3 in different methods as follows.
Given Input numbers are 993, 195, 441, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
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 (993, 195, 441, 972) = 3.
Given numbers are 993, 195, 441, 972
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 195 are 3 x 5 x 13
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 993, 195, 441, 972 is 3.
Given numbers are 993, 195, 441, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 195) = 64545
GCD(993, 195) = ( 993 x 195 ) / 64545
= 993 / 195
= 993
Step2:
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
= 3 / 441
= 3
Step3:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
So, Greatest Common Divisor of 993, 195, 441, 972 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 195, 441, 972
The greatest common divisor of numbers 993, 195, 441, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 195, 441, 972 is 3.
1. What is the GCD of 993, 195, 441, 972?
GCD of given numbers 993, 195, 441, 972 is 3
2. How to calculate the greatest common divisor of 993, 195, 441, 972?
We can find the highest common divisor of 993, 195, 441, 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 993, 195, 441, 972 i.e 3.
3. How can I use the GCD of 993, 195, 441, 972Calculator?
Out the numbers 993, 195, 441, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.