Online GCD Calculator is useful to find the GCD of 234, 364, 180, 875 quickly. Get the easiest ways to solve the greatest common divisor of 234, 364, 180, 875 i.e 1 in different methods as follows.
Given Input numbers are 234, 364, 180, 875
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
GCD of numbers is the greatest common divisor
So, the GCD (234, 364, 180, 875) = 1.
Given numbers are 234, 364, 180, 875
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 875 are 5 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 234, 364, 180, 875
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 364) = 3276
GCD(234, 364) = ( 234 x 364 ) / 3276
= 234 / 364
= 234
Step2:
LCM(26, 180) = 2340
GCD(26, 180) = ( 26 x 180 ) / 2340
= 26 / 180
= 26
Step3:
LCM(2, 875) = 1750
GCD(2, 875) = ( 2 x 875 ) / 1750
= 2 / 875
= 2
So, Greatest Common Divisor of 234, 364, 180, 875 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 364, 180, 875
The greatest common divisor of numbers 234, 364, 180, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 364, 180, 875 is 1.
1. What is the GCD of 234, 364, 180, 875?
GCD of given numbers 234, 364, 180, 875 is 1
2. How to calculate the greatest common divisor of 234, 364, 180, 875?
We can find the highest common divisor of 234, 364, 180, 875 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 234, 364, 180, 875 i.e 1.
3. How can I use the GCD of 234, 364, 180, 875Calculator?
Out the numbers 234, 364, 180, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.