Online GCD Calculator is useful to find the GCD of 126, 202, 576, 162 quickly. Get the easiest ways to solve the greatest common divisor of 126, 202, 576, 162 i.e 2 in different methods as follows.
Given Input numbers are 126, 202, 576, 162
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
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 (126, 202, 576, 162) = 2.
Given numbers are 126, 202, 576, 162
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 202 are 2 x 101
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 126, 202, 576, 162 is 2.
Given numbers are 126, 202, 576, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 202) = 12726
GCD(126, 202) = ( 126 x 202 ) / 12726
= 126 / 202
= 126
Step2:
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
= 2 / 576
= 2
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 126, 202, 576, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 202, 576, 162
The greatest common divisor of numbers 126, 202, 576, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 202, 576, 162 is 2.
1. What is the GCD of 126, 202, 576, 162?
GCD of given numbers 126, 202, 576, 162 is 2
2. How to calculate the greatest common divisor of 126, 202, 576, 162?
We can find the highest common divisor of 126, 202, 576, 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 126, 202, 576, 162 i.e 2.
3. How can I use the GCD of 126, 202, 576, 162Calculator?
Out the numbers 126, 202, 576, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.