Online GCD Calculator is useful to find the GCD of 690, 759, 999 quickly. Get the easiest ways to solve the greatest common divisor of 690, 759, 999 i.e 3 in different methods as follows.
Given Input numbers are 690, 759, 999
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (690, 759, 999) = 3.
Given numbers are 690, 759, 999
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 759 are 3 x 11 x 23
Prime factors of 999 are 3 x 3 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 690, 759, 999 is 3.
Given numbers are 690, 759, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 759) = 7590
GCD(690, 759) = ( 690 x 759 ) / 7590
= 690 / 759
= 690
Step2:
LCM(69, 999) = 22977
GCD(69, 999) = ( 69 x 999 ) / 22977
= 69 / 999
= 69
So, Greatest Common Divisor of 690, 759, 999 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 759, 999
The greatest common divisor of numbers 690, 759, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 759, 999 is 3.
1. What is the GCD of 690, 759, 999?
GCD of given numbers 690, 759, 999 is 3
2. How to calculate the greatest common divisor of 690, 759, 999?
We can find the highest common divisor of 690, 759, 999 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, 759, 999 i.e 3.
3. How can I use the GCD of 690, 759, 999Calculator?
Out the numbers 690, 759, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.