Online GCD Calculator is useful to find the GCD of 132, 978, 495, 444 quickly. Get the easiest ways to solve the greatest common divisor of 132, 978, 495, 444 i.e 3 in different methods as follows.
Given Input numbers are 132, 978, 495, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
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 (132, 978, 495, 444) = 3.
Given numbers are 132, 978, 495, 444
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 978 are 2 x 3 x 163
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 132, 978, 495, 444 is 3.
Given numbers are 132, 978, 495, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 978) = 21516
GCD(132, 978) = ( 132 x 978 ) / 21516
= 132 / 978
= 132
Step2:
LCM(6, 495) = 990
GCD(6, 495) = ( 6 x 495 ) / 990
= 6 / 495
= 6
Step3:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
So, Greatest Common Divisor of 132, 978, 495, 444 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 978, 495, 444
The greatest common divisor of numbers 132, 978, 495, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 978, 495, 444 is 3.
1. What is the GCD of 132, 978, 495, 444?
GCD of given numbers 132, 978, 495, 444 is 3
2. How to calculate the greatest common divisor of 132, 978, 495, 444?
We can find the highest common divisor of 132, 978, 495, 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 132, 978, 495, 444 i.e 3.
3. How can I use the GCD of 132, 978, 495, 444Calculator?
Out the numbers 132, 978, 495, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.