Online GCD Calculator is useful to find the GCD of 852, 432, 255, 135 quickly. Get the easiest ways to solve the greatest common divisor of 852, 432, 255, 135 i.e 3 in different methods as follows.
Given Input numbers are 852, 432, 255, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (852, 432, 255, 135) = 3.
Given numbers are 852, 432, 255, 135
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 255 are 3 x 5 x 17
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 852, 432, 255, 135 is 3.
Given numbers are 852, 432, 255, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 432) = 30672
GCD(852, 432) = ( 852 x 432 ) / 30672
= 852 / 432
= 852
Step2:
LCM(12, 255) = 1020
GCD(12, 255) = ( 12 x 255 ) / 1020
= 12 / 255
= 12
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 852, 432, 255, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 432, 255, 135
The greatest common divisor of numbers 852, 432, 255, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 432, 255, 135 is 3.
1. What is the GCD of 852, 432, 255, 135?
GCD of given numbers 852, 432, 255, 135 is 3
2. How to calculate the greatest common divisor of 852, 432, 255, 135?
We can find the highest common divisor of 852, 432, 255, 135 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 852, 432, 255, 135 i.e 3.
3. How can I use the GCD of 852, 432, 255, 135Calculator?
Out the numbers 852, 432, 255, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.