Online GCD Calculator is useful to find the GCD of 444, 897, 888, 972 quickly. Get the easiest ways to solve the greatest common divisor of 444, 897, 888, 972 i.e 3 in different methods as follows.
Given Input numbers are 444, 897, 888, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
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 (444, 897, 888, 972) = 3.
Given numbers are 444, 897, 888, 972
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 897 are 3 x 13 x 23
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
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 444, 897, 888, 972 is 3.
Given numbers are 444, 897, 888, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 897) = 132756
GCD(444, 897) = ( 444 x 897 ) / 132756
= 444 / 897
= 444
Step2:
LCM(3, 888) = 888
GCD(3, 888) = ( 3 x 888 ) / 888
= 3 / 888
= 3
Step3:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
So, Greatest Common Divisor of 444, 897, 888, 972 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 444, 897, 888, 972
The greatest common divisor of numbers 444, 897, 888, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 897, 888, 972 is 3.
1. What is the GCD of 444, 897, 888, 972?
GCD of given numbers 444, 897, 888, 972 is 3
2. How to calculate the greatest common divisor of 444, 897, 888, 972?
We can find the highest common divisor of 444, 897, 888, 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 444, 897, 888, 972 i.e 3.
3. How can I use the GCD of 444, 897, 888, 972Calculator?
Out the numbers 444, 897, 888, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.