Online GCD Calculator is useful to find the GCD of 162, 774, 171, 972 quickly. Get the easiest ways to solve the greatest common divisor of 162, 774, 171, 972 i.e 9 in different methods as follows.
Given Input numbers are 162, 774, 171, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (162, 774, 171, 972) = 9.
Given numbers are 162, 774, 171, 972
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 171 are 3 x 3 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 162, 774, 171, 972 is 9.
Given numbers are 162, 774, 171, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 774) = 6966
GCD(162, 774) = ( 162 x 774 ) / 6966
= 162 / 774
= 162
Step2:
LCM(18, 171) = 342
GCD(18, 171) = ( 18 x 171 ) / 342
= 18 / 171
= 18
Step3:
LCM(9, 972) = 972
GCD(9, 972) = ( 9 x 972 ) / 972
= 9 / 972
= 9
So, Greatest Common Divisor of 162, 774, 171, 972 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 774, 171, 972
The greatest common divisor of numbers 162, 774, 171, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 774, 171, 972 is 9.
1. What is the GCD of 162, 774, 171, 972?
GCD of given numbers 162, 774, 171, 972 is 9
2. How to calculate the greatest common divisor of 162, 774, 171, 972?
We can find the highest common divisor of 162, 774, 171, 972 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 162, 774, 171, 972 i.e 9.
3. How can I use the GCD of 162, 774, 171, 972Calculator?
Out the numbers 162, 774, 171, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.