Online GCD Calculator is useful to find the GCD of 609, 114, 702, 591 quickly. Get the easiest ways to solve the greatest common divisor of 609, 114, 702, 591 i.e 3 in different methods as follows.
Given Input numbers are 609, 114, 702, 591
In the factoring method, we have to find the divisors of all numbers
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
GCD of numbers is the greatest common divisor
So, the GCD (609, 114, 702, 591) = 3.
Given numbers are 609, 114, 702, 591
The list of prime factors of all numbers are
Prime factors of 609 are 3 x 7 x 29
Prime factors of 114 are 2 x 3 x 19
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 591 are 3 x 197
The highest common occurrence is 31
Therefore, GCD of 609, 114, 702, 591 is 3.
Given numbers are 609, 114, 702, 591
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(609, 114) = 23142
GCD(609, 114) = ( 609 x 114 ) / 23142
= 609 / 114
= 609
Step2:
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
= 3 / 702
= 3
Step3:
LCM(3, 591) = 591
GCD(3, 591) = ( 3 x 591 ) / 591
= 3 / 591
= 3
So, Greatest Common Divisor of 609, 114, 702, 591 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 609, 114, 702, 591
The greatest common divisor of numbers 609, 114, 702, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 114, 702, 591 is 3.
1. What is the GCD of 609, 114, 702, 591?
GCD of given numbers 609, 114, 702, 591 is 3
2. How to calculate the greatest common divisor of 609, 114, 702, 591?
We can find the highest common divisor of 609, 114, 702, 591 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 609, 114, 702, 591 i.e 3.
3. How can I use the GCD of 609, 114, 702, 591Calculator?
Out the numbers 609, 114, 702, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.