Online GCD Calculator is useful to find the GCD of 711, 945, 162 quickly. Get the easiest ways to solve the greatest common divisor of 711, 945, 162 i.e 9 in different methods as follows.
Given Input numbers are 711, 945, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
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 (711, 945, 162) = 9.
Given numbers are 711, 945, 162
The list of prime factors of all numbers are
Prime factors of 711 are 3 x 3 x 79
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 711, 945, 162 is 9.
Given numbers are 711, 945, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(711, 945) = 74655
GCD(711, 945) = ( 711 x 945 ) / 74655
= 711 / 945
= 711
Step2:
LCM(9, 162) = 162
GCD(9, 162) = ( 9 x 162 ) / 162
= 9 / 162
= 9
So, Greatest Common Divisor of 711, 945, 162 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 711, 945, 162
The greatest common divisor of numbers 711, 945, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 945, 162 is 9.
1. What is the GCD of 711, 945, 162?
GCD of given numbers 711, 945, 162 is 9
2. How to calculate the greatest common divisor of 711, 945, 162?
We can find the highest common divisor of 711, 945, 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 711, 945, 162 i.e 9.
3. How can I use the GCD of 711, 945, 162Calculator?
Out the numbers 711, 945, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.