Online GCD Calculator is useful to find the GCD of 918, 765, 102 quickly. Get the easiest ways to solve the greatest common divisor of 918, 765, 102 i.e 51 in different methods as follows.
Given Input numbers are 918, 765, 102
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (918, 765, 102) = 51.
Given numbers are 918, 765, 102
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 171 x 31
Therefore, GCD of 918, 765, 102 is 51.
Given numbers are 918, 765, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 765) = 4590
GCD(918, 765) = ( 918 x 765 ) / 4590
= 918 / 765
= 918
Step2:
LCM(153, 102) = 306
GCD(153, 102) = ( 153 x 102 ) / 306
= 153 / 102
= 153
So, Greatest Common Divisor of 918, 765, 102 is 51
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 765, 102
The greatest common divisor of numbers 918, 765, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 765, 102 is 51.
1. What is the GCD of 918, 765, 102?
GCD of given numbers 918, 765, 102 is 51
2. How to calculate the greatest common divisor of 918, 765, 102?
We can find the highest common divisor of 918, 765, 102 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 918, 765, 102 i.e 51.
3. How can I use the GCD of 918, 765, 102Calculator?
Out the numbers 918, 765, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.