Online GCD Calculator is useful to find the GCD of 987, 450, 255, 162 quickly. Get the easiest ways to solve the greatest common divisor of 987, 450, 255, 162 i.e 3 in different methods as follows.
Given Input numbers are 987, 450, 255, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
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 (987, 450, 255, 162) = 3.
Given numbers are 987, 450, 255, 162
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 255 are 3 x 5 x 17
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 987, 450, 255, 162 is 3.
Given numbers are 987, 450, 255, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 450) = 148050
GCD(987, 450) = ( 987 x 450 ) / 148050
= 987 / 450
= 987
Step2:
LCM(3, 255) = 255
GCD(3, 255) = ( 3 x 255 ) / 255
= 3 / 255
= 3
Step3:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
So, Greatest Common Divisor of 987, 450, 255, 162 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 450, 255, 162
The greatest common divisor of numbers 987, 450, 255, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 450, 255, 162 is 3.
1. What is the GCD of 987, 450, 255, 162?
GCD of given numbers 987, 450, 255, 162 is 3
2. How to calculate the greatest common divisor of 987, 450, 255, 162?
We can find the highest common divisor of 987, 450, 255, 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 987, 450, 255, 162 i.e 3.
3. How can I use the GCD of 987, 450, 255, 162Calculator?
Out the numbers 987, 450, 255, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.