Online GCD Calculator is useful to find the GCD of 162, 722, 50, 126 quickly. Get the easiest ways to solve the greatest common divisor of 162, 722, 50, 126 i.e 2 in different methods as follows.
Given Input numbers are 162, 722, 50, 126
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 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 50 :
The positive integer divisors of 50 that completely divides 50 are.
1, 2, 5, 10, 25, 50
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (162, 722, 50, 126) = 2.
Given numbers are 162, 722, 50, 126
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 722 are 2 x 19 x 19
Prime factors of 50 are 2 x 5 x 5
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 162, 722, 50, 126 is 2.
Given numbers are 162, 722, 50, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 722) = 58482
GCD(162, 722) = ( 162 x 722 ) / 58482
= 162 / 722
= 162
Step2:
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
= 2 / 50
= 2
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 162, 722, 50, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 722, 50, 126
The greatest common divisor of numbers 162, 722, 50, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 722, 50, 126 is 2.
1. What is the GCD of 162, 722, 50, 126?
GCD of given numbers 162, 722, 50, 126 is 2
2. How to calculate the greatest common divisor of 162, 722, 50, 126?
We can find the highest common divisor of 162, 722, 50, 126 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, 722, 50, 126 i.e 2.
3. How can I use the GCD of 162, 722, 50, 126Calculator?
Out the numbers 162, 722, 50, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.