Online GCD Calculator is useful to find the GCD of 870, 339, 822 quickly. Get the easiest ways to solve the greatest common divisor of 870, 339, 822 i.e 3 in different methods as follows.
Given Input numbers are 870, 339, 822
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 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (870, 339, 822) = 3.
Given numbers are 870, 339, 822
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 339 are 3 x 113
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 31
Therefore, GCD of 870, 339, 822 is 3.
Given numbers are 870, 339, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 339) = 98310
GCD(870, 339) = ( 870 x 339 ) / 98310
= 870 / 339
= 870
Step2:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
So, Greatest Common Divisor of 870, 339, 822 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 339, 822
The greatest common divisor of numbers 870, 339, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 339, 822 is 3.
1. What is the GCD of 870, 339, 822?
GCD of given numbers 870, 339, 822 is 3
2. How to calculate the greatest common divisor of 870, 339, 822?
We can find the highest common divisor of 870, 339, 822 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, 339, 822 i.e 3.
3. How can I use the GCD of 870, 339, 822Calculator?
Out the numbers 870, 339, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.