Online GCD Calculator is useful to find the GCD of 177, 534, 432, 162 quickly. Get the easiest ways to solve the greatest common divisor of 177, 534, 432, 162 i.e 3 in different methods as follows.
Given Input numbers are 177, 534, 432, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
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 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (177, 534, 432, 162) = 3.
Given numbers are 177, 534, 432, 162
The list of prime factors of all numbers are
Prime factors of 177 are 3 x 59
Prime factors of 534 are 2 x 3 x 89
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 177, 534, 432, 162 is 3.
Given numbers are 177, 534, 432, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(177, 534) = 31506
GCD(177, 534) = ( 177 x 534 ) / 31506
= 177 / 534
= 177
Step2:
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
= 3 / 432
= 3
Step3:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
So, Greatest Common Divisor of 177, 534, 432, 162 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 177, 534, 432, 162
The greatest common divisor of numbers 177, 534, 432, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 534, 432, 162 is 3.
1. What is the GCD of 177, 534, 432, 162?
GCD of given numbers 177, 534, 432, 162 is 3
2. How to calculate the greatest common divisor of 177, 534, 432, 162?
We can find the highest common divisor of 177, 534, 432, 162 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 177, 534, 432, 162 i.e 3.
3. How can I use the GCD of 177, 534, 432, 162Calculator?
Out the numbers 177, 534, 432, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.