Online GCD Calculator is useful to find the GCD of 960, 432, 921, 444 quickly. Get the easiest ways to solve the greatest common divisor of 960, 432, 921, 444 i.e 3 in different methods as follows.
Given Input numbers are 960, 432, 921, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (960, 432, 921, 444) = 3.
Given numbers are 960, 432, 921, 444
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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 444 are 2 x 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 960, 432, 921, 444 is 3.
Given numbers are 960, 432, 921, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 432) = 8640
GCD(960, 432) = ( 960 x 432 ) / 8640
= 960 / 432
= 960
Step2:
LCM(48, 921) = 14736
GCD(48, 921) = ( 48 x 921 ) / 14736
= 48 / 921
= 48
Step3:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
So, Greatest Common Divisor of 960, 432, 921, 444 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 432, 921, 444
The greatest common divisor of numbers 960, 432, 921, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 432, 921, 444 is 3.
1. What is the GCD of 960, 432, 921, 444?
GCD of given numbers 960, 432, 921, 444 is 3
2. How to calculate the greatest common divisor of 960, 432, 921, 444?
We can find the highest common divisor of 960, 432, 921, 444 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 960, 432, 921, 444 i.e 3.
3. How can I use the GCD of 960, 432, 921, 444Calculator?
Out the numbers 960, 432, 921, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.