Online GCD Calculator is useful to find the GCD of 870, 684, 694 quickly. Get the easiest ways to solve the greatest common divisor of 870, 684, 694 i.e 2 in different methods as follows.
Given Input numbers are 870, 684, 694
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
GCD of numbers is the greatest common divisor
So, the GCD (870, 684, 694) = 2.
Given numbers are 870, 684, 694
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 694 are 2 x 347
The highest common occurrence is 21
Therefore, GCD of 870, 684, 694 is 2.
Given numbers are 870, 684, 694
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 684) = 99180
GCD(870, 684) = ( 870 x 684 ) / 99180
= 870 / 684
= 870
Step2:
LCM(6, 694) = 2082
GCD(6, 694) = ( 6 x 694 ) / 2082
= 6 / 694
= 6
So, Greatest Common Divisor of 870, 684, 694 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 684, 694
The greatest common divisor of numbers 870, 684, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 684, 694 is 2.
1. What is the GCD of 870, 684, 694?
GCD of given numbers 870, 684, 694 is 2
2. How to calculate the greatest common divisor of 870, 684, 694?
We can find the highest common divisor of 870, 684, 694 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, 684, 694 i.e 2.
3. How can I use the GCD of 870, 684, 694Calculator?
Out the numbers 870, 684, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.