Online GCD Calculator is useful to find the GCD of 870, 432, 889, 660 quickly. Get the easiest ways to solve the greatest common divisor of 870, 432, 889, 660 i.e 1 in different methods as follows.
Given Input numbers are 870, 432, 889, 660
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (870, 432, 889, 660) = 1.
Given numbers are 870, 432, 889, 660
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 889 are 7 x 127
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 432, 889, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 432) = 62640
GCD(870, 432) = ( 870 x 432 ) / 62640
= 870 / 432
= 870
Step2:
LCM(6, 889) = 5334
GCD(6, 889) = ( 6 x 889 ) / 5334
= 6 / 889
= 6
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 870, 432, 889, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 432, 889, 660
The greatest common divisor of numbers 870, 432, 889, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 432, 889, 660 is 1.
1. What is the GCD of 870, 432, 889, 660?
GCD of given numbers 870, 432, 889, 660 is 1
2. How to calculate the greatest common divisor of 870, 432, 889, 660?
We can find the highest common divisor of 870, 432, 889, 660 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, 432, 889, 660 i.e 1.
3. How can I use the GCD of 870, 432, 889, 660Calculator?
Out the numbers 870, 432, 889, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.