Online GCD Calculator is useful to find the GCD of 180, 855, 824, 874 quickly. Get the easiest ways to solve the greatest common divisor of 180, 855, 824, 874 i.e 1 in different methods as follows.
Given Input numbers are 180, 855, 824, 874
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (180, 855, 824, 874) = 1.
Given numbers are 180, 855, 824, 874
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 855 are 3 x 3 x 5 x 19
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 874 are 2 x 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 855, 824, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 855) = 3420
GCD(180, 855) = ( 180 x 855 ) / 3420
= 180 / 855
= 180
Step2:
LCM(45, 824) = 37080
GCD(45, 824) = ( 45 x 824 ) / 37080
= 45 / 824
= 45
Step3:
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
= 1 / 874
= 1
So, Greatest Common Divisor of 180, 855, 824, 874 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 855, 824, 874
The greatest common divisor of numbers 180, 855, 824, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 855, 824, 874 is 1.
1. What is the GCD of 180, 855, 824, 874?
GCD of given numbers 180, 855, 824, 874 is 1
2. How to calculate the greatest common divisor of 180, 855, 824, 874?
We can find the highest common divisor of 180, 855, 824, 874 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, 855, 824, 874 i.e 1.
3. How can I use the GCD of 180, 855, 824, 874Calculator?
Out the numbers 180, 855, 824, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.