Online GCD Calculator is useful to find the GCD of 690, 590, 986 quickly. Get the easiest ways to solve the greatest common divisor of 690, 590, 986 i.e 2 in different methods as follows.
Given Input numbers are 690, 590, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (690, 590, 986) = 2.
Given numbers are 690, 590, 986
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 590 are 2 x 5 x 59
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 690, 590, 986 is 2.
Given numbers are 690, 590, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 590) = 40710
GCD(690, 590) = ( 690 x 590 ) / 40710
= 690 / 590
= 690
Step2:
LCM(10, 986) = 4930
GCD(10, 986) = ( 10 x 986 ) / 4930
= 10 / 986
= 10
So, Greatest Common Divisor of 690, 590, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 590, 986
The greatest common divisor of numbers 690, 590, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 590, 986 is 2.
1. What is the GCD of 690, 590, 986?
GCD of given numbers 690, 590, 986 is 2
2. How to calculate the greatest common divisor of 690, 590, 986?
We can find the highest common divisor of 690, 590, 986 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 690, 590, 986 i.e 2.
3. How can I use the GCD of 690, 590, 986Calculator?
Out the numbers 690, 590, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.