Online GCD Calculator is useful to find the GCD of 177, 135, 486 quickly. Get the easiest ways to solve the greatest common divisor of 177, 135, 486 i.e 3 in different methods as follows.
Given Input numbers are 177, 135, 486
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 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (177, 135, 486) = 3.
Given numbers are 177, 135, 486
The list of prime factors of all numbers are
Prime factors of 177 are 3 x 59
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 177, 135, 486 is 3.
Given numbers are 177, 135, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(177, 135) = 7965
GCD(177, 135) = ( 177 x 135 ) / 7965
= 177 / 135
= 177
Step2:
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
= 3 / 486
= 3
So, Greatest Common Divisor of 177, 135, 486 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 177, 135, 486
The greatest common divisor of numbers 177, 135, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 135, 486 is 3.
1. What is the GCD of 177, 135, 486?
GCD of given numbers 177, 135, 486 is 3
2. How to calculate the greatest common divisor of 177, 135, 486?
We can find the highest common divisor of 177, 135, 486 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, 135, 486 i.e 3.
3. How can I use the GCD of 177, 135, 486Calculator?
Out the numbers 177, 135, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.