Online GCD Calculator is useful to find the GCD of 432, 921, 324, 981 quickly. Get the easiest ways to solve the greatest common divisor of 432, 921, 324, 981 i.e 3 in different methods as follows.
Given Input numbers are 432, 921, 324, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (432, 921, 324, 981) = 3.
Given numbers are 432, 921, 324, 981
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 921 are 3 x 307
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 432, 921, 324, 981 is 3.
Given numbers are 432, 921, 324, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 921) = 132624
GCD(432, 921) = ( 432 x 921 ) / 132624
= 432 / 921
= 432
Step2:
LCM(3, 324) = 324
GCD(3, 324) = ( 3 x 324 ) / 324
= 3 / 324
= 3
Step3:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
So, Greatest Common Divisor of 432, 921, 324, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 921, 324, 981
The greatest common divisor of numbers 432, 921, 324, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 921, 324, 981 is 3.
1. What is the GCD of 432, 921, 324, 981?
GCD of given numbers 432, 921, 324, 981 is 3
2. How to calculate the greatest common divisor of 432, 921, 324, 981?
We can find the highest common divisor of 432, 921, 324, 981 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 432, 921, 324, 981 i.e 3.
3. How can I use the GCD of 432, 921, 324, 981Calculator?
Out the numbers 432, 921, 324, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.