Online GCD Calculator is useful to find the GCD of 870, 612, 966, 513 quickly. Get the easiest ways to solve the greatest common divisor of 870, 612, 966, 513 i.e 3 in different methods as follows.
Given Input numbers are 870, 612, 966, 513
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
GCD of numbers is the greatest common divisor
So, the GCD (870, 612, 966, 513) = 3.
Given numbers are 870, 612, 966, 513
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 513 are 3 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 870, 612, 966, 513 is 3.
Given numbers are 870, 612, 966, 513
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 612) = 88740
GCD(870, 612) = ( 870 x 612 ) / 88740
= 870 / 612
= 870
Step2:
LCM(6, 966) = 966
GCD(6, 966) = ( 6 x 966 ) / 966
= 6 / 966
= 6
Step3:
LCM(6, 513) = 1026
GCD(6, 513) = ( 6 x 513 ) / 1026
= 6 / 513
= 6
So, Greatest Common Divisor of 870, 612, 966, 513 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 612, 966, 513
The greatest common divisor of numbers 870, 612, 966, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 612, 966, 513 is 3.
1. What is the GCD of 870, 612, 966, 513?
GCD of given numbers 870, 612, 966, 513 is 3
2. How to calculate the greatest common divisor of 870, 612, 966, 513?
We can find the highest common divisor of 870, 612, 966, 513 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, 612, 966, 513 i.e 3.
3. How can I use the GCD of 870, 612, 966, 513Calculator?
Out the numbers 870, 612, 966, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.