Online GCD Calculator is useful to find the GCD of 870, 888, 200, 369 quickly. Get the easiest ways to solve the greatest common divisor of 870, 888, 200, 369 i.e 1 in different methods as follows.
Given Input numbers are 870, 888, 200, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (870, 888, 200, 369) = 1.
Given numbers are 870, 888, 200, 369
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 888, 200, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 888) = 128760
GCD(870, 888) = ( 870 x 888 ) / 128760
= 870 / 888
= 870
Step2:
LCM(6, 200) = 600
GCD(6, 200) = ( 6 x 200 ) / 600
= 6 / 200
= 6
Step3:
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
= 2 / 369
= 2
So, Greatest Common Divisor of 870, 888, 200, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 888, 200, 369
The greatest common divisor of numbers 870, 888, 200, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 888, 200, 369 is 1.
1. What is the GCD of 870, 888, 200, 369?
GCD of given numbers 870, 888, 200, 369 is 1
2. How to calculate the greatest common divisor of 870, 888, 200, 369?
We can find the highest common divisor of 870, 888, 200, 369 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 870, 888, 200, 369 i.e 1.
3. How can I use the GCD of 870, 888, 200, 369Calculator?
Out the numbers 870, 888, 200, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.