Online GCD Calculator is useful to find the GCD of 180, 261, 152, 318 quickly. Get the easiest ways to solve the greatest common divisor of 180, 261, 152, 318 i.e 1 in different methods as follows.
Given Input numbers are 180, 261, 152, 318
In the factoring method, we have to find the divisors of all numbers
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 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
GCD of numbers is the greatest common divisor
So, the GCD (180, 261, 152, 318) = 1.
Given numbers are 180, 261, 152, 318
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 261 are 3 x 3 x 29
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 318 are 2 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 261, 152, 318
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 261) = 5220
GCD(180, 261) = ( 180 x 261 ) / 5220
= 180 / 261
= 180
Step2:
LCM(9, 152) = 1368
GCD(9, 152) = ( 9 x 152 ) / 1368
= 9 / 152
= 9
Step3:
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
= 1 / 318
= 1
So, Greatest Common Divisor of 180, 261, 152, 318 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 261, 152, 318
The greatest common divisor of numbers 180, 261, 152, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 261, 152, 318 is 1.
1. What is the GCD of 180, 261, 152, 318?
GCD of given numbers 180, 261, 152, 318 is 1
2. How to calculate the greatest common divisor of 180, 261, 152, 318?
We can find the highest common divisor of 180, 261, 152, 318 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 180, 261, 152, 318 i.e 1.
3. How can I use the GCD of 180, 261, 152, 318Calculator?
Out the numbers 180, 261, 152, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.