Online GCD Calculator is useful to find the GCD of 432, 132, 978, 435 quickly. Get the easiest ways to solve the greatest common divisor of 432, 132, 978, 435 i.e 3 in different methods as follows.
Given Input numbers are 432, 132, 978, 435
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 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 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
GCD of numbers is the greatest common divisor
So, the GCD (432, 132, 978, 435) = 3.
Given numbers are 432, 132, 978, 435
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 132 are 2 x 2 x 3 x 11
Prime factors of 978 are 2 x 3 x 163
Prime factors of 435 are 3 x 5 x 29
The highest common occurrence is 31
Therefore, GCD of 432, 132, 978, 435 is 3.
Given numbers are 432, 132, 978, 435
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 132) = 4752
GCD(432, 132) = ( 432 x 132 ) / 4752
= 432 / 132
= 432
Step2:
LCM(12, 978) = 1956
GCD(12, 978) = ( 12 x 978 ) / 1956
= 12 / 978
= 12
Step3:
LCM(6, 435) = 870
GCD(6, 435) = ( 6 x 435 ) / 870
= 6 / 435
= 6
So, Greatest Common Divisor of 432, 132, 978, 435 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 132, 978, 435
The greatest common divisor of numbers 432, 132, 978, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 132, 978, 435 is 3.
1. What is the GCD of 432, 132, 978, 435?
GCD of given numbers 432, 132, 978, 435 is 3
2. How to calculate the greatest common divisor of 432, 132, 978, 435?
We can find the highest common divisor of 432, 132, 978, 435 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, 132, 978, 435 i.e 3.
3. How can I use the GCD of 432, 132, 978, 435Calculator?
Out the numbers 432, 132, 978, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.