Online GCD Calculator is useful to find the GCD of 321, 888, 120, 972 quickly. Get the easiest ways to solve the greatest common divisor of 321, 888, 120, 972 i.e 3 in different methods as follows.
Given Input numbers are 321, 888, 120, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 (321, 888, 120, 972) = 3.
Given numbers are 321, 888, 120, 972
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
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 321, 888, 120, 972 is 3.
Given numbers are 321, 888, 120, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 888) = 95016
GCD(321, 888) = ( 321 x 888 ) / 95016
= 321 / 888
= 321
Step2:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
Step3:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
So, Greatest Common Divisor of 321, 888, 120, 972 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 888, 120, 972
The greatest common divisor of numbers 321, 888, 120, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 888, 120, 972 is 3.
1. What is the GCD of 321, 888, 120, 972?
GCD of given numbers 321, 888, 120, 972 is 3
2. How to calculate the greatest common divisor of 321, 888, 120, 972?
We can find the highest common divisor of 321, 888, 120, 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 321, 888, 120, 972 i.e 3.
3. How can I use the GCD of 321, 888, 120, 972Calculator?
Out the numbers 321, 888, 120, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.