Online GCD Calculator is useful to find the GCD of 759, 729, 531, 102 quickly. Get the easiest ways to solve the greatest common divisor of 759, 729, 531, 102 i.e 3 in different methods as follows.
Given Input numbers are 759, 729, 531, 102
In the factoring method, we have to find the divisors of all numbers
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
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 (759, 729, 531, 102) = 3.
Given numbers are 759, 729, 531, 102
The list of prime factors of all numbers are
Prime factors of 759 are 3 x 11 x 23
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 531 are 3 x 3 x 59
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 759, 729, 531, 102 is 3.
Given numbers are 759, 729, 531, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(759, 729) = 184437
GCD(759, 729) = ( 759 x 729 ) / 184437
= 759 / 729
= 759
Step2:
LCM(3, 531) = 531
GCD(3, 531) = ( 3 x 531 ) / 531
= 3 / 531
= 3
Step3:
LCM(3, 102) = 102
GCD(3, 102) = ( 3 x 102 ) / 102
= 3 / 102
= 3
So, Greatest Common Divisor of 759, 729, 531, 102 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 759, 729, 531, 102
The greatest common divisor of numbers 759, 729, 531, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 729, 531, 102 is 3.
1. What is the GCD of 759, 729, 531, 102?
GCD of given numbers 759, 729, 531, 102 is 3
2. How to calculate the greatest common divisor of 759, 729, 531, 102?
We can find the highest common divisor of 759, 729, 531, 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 759, 729, 531, 102 i.e 3.
3. How can I use the GCD of 759, 729, 531, 102Calculator?
Out the numbers 759, 729, 531, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.