Online GCD Calculator is useful to find the GCD of 162, 180, 734, 758 quickly. Get the easiest ways to solve the greatest common divisor of 162, 180, 734, 758 i.e 2 in different methods as follows.
Given Input numbers are 162, 180, 734, 758
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
GCD of numbers is the greatest common divisor
So, the GCD (162, 180, 734, 758) = 2.
Given numbers are 162, 180, 734, 758
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 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 734 are 2 x 367
Prime factors of 758 are 2 x 379
The highest common occurrence is 21
Therefore, GCD of 162, 180, 734, 758 is 2.
Given numbers are 162, 180, 734, 758
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 180) = 1620
GCD(162, 180) = ( 162 x 180 ) / 1620
= 162 / 180
= 162
Step2:
LCM(18, 734) = 6606
GCD(18, 734) = ( 18 x 734 ) / 6606
= 18 / 734
= 18
Step3:
LCM(2, 758) = 758
GCD(2, 758) = ( 2 x 758 ) / 758
= 2 / 758
= 2
So, Greatest Common Divisor of 162, 180, 734, 758 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 180, 734, 758
The greatest common divisor of numbers 162, 180, 734, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 180, 734, 758 is 2.
1. What is the GCD of 162, 180, 734, 758?
GCD of given numbers 162, 180, 734, 758 is 2
2. How to calculate the greatest common divisor of 162, 180, 734, 758?
We can find the highest common divisor of 162, 180, 734, 758 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, 180, 734, 758 i.e 2.
3. How can I use the GCD of 162, 180, 734, 758Calculator?
Out the numbers 162, 180, 734, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.