Online GCD Calculator is useful to find the GCD of 242, 261, 936, 180 quickly. Get the easiest ways to solve the greatest common divisor of 242, 261, 936, 180 i.e 1 in different methods as follows.
Given Input numbers are 242, 261, 936, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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
GCD of numbers is the greatest common divisor
So, the GCD (242, 261, 936, 180) = 1.
Given numbers are 242, 261, 936, 180
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 261 are 3 x 3 x 29
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 261, 936, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 261) = 63162
GCD(242, 261) = ( 242 x 261 ) / 63162
= 242 / 261
= 242
Step2:
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
= 1 / 936
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 242, 261, 936, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 261, 936, 180
The greatest common divisor of numbers 242, 261, 936, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 261, 936, 180 is 1.
1. What is the GCD of 242, 261, 936, 180?
GCD of given numbers 242, 261, 936, 180 is 1
2. How to calculate the greatest common divisor of 242, 261, 936, 180?
We can find the highest common divisor of 242, 261, 936, 180 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 242, 261, 936, 180 i.e 1.
3. How can I use the GCD of 242, 261, 936, 180Calculator?
Out the numbers 242, 261, 936, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.