Online GCD Calculator is useful to find the GCD of 255, 102, 159, 690 quickly. Get the easiest ways to solve the greatest common divisor of 255, 102, 159, 690 i.e 3 in different methods as follows.
Given Input numbers are 255, 102, 159, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
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
GCD of numbers is the greatest common divisor
So, the GCD (255, 102, 159, 690) = 3.
Given numbers are 255, 102, 159, 690
The list of prime factors of all numbers are
Prime factors of 255 are 3 x 5 x 17
Prime factors of 102 are 2 x 3 x 17
Prime factors of 159 are 3 x 53
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 31
Therefore, GCD of 255, 102, 159, 690 is 3.
Given numbers are 255, 102, 159, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(255, 102) = 510
GCD(255, 102) = ( 255 x 102 ) / 510
= 255 / 102
= 255
Step2:
LCM(51, 159) = 2703
GCD(51, 159) = ( 51 x 159 ) / 2703
= 51 / 159
= 51
Step3:
LCM(3, 690) = 690
GCD(3, 690) = ( 3 x 690 ) / 690
= 3 / 690
= 3
So, Greatest Common Divisor of 255, 102, 159, 690 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 255, 102, 159, 690
The greatest common divisor of numbers 255, 102, 159, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 102, 159, 690 is 3.
1. What is the GCD of 255, 102, 159, 690?
GCD of given numbers 255, 102, 159, 690 is 3
2. How to calculate the greatest common divisor of 255, 102, 159, 690?
We can find the highest common divisor of 255, 102, 159, 690 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 255, 102, 159, 690 i.e 3.
3. How can I use the GCD of 255, 102, 159, 690Calculator?
Out the numbers 255, 102, 159, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.