Online GCD Calculator is useful to find the GCD of 690, 522, 724, 609 quickly. Get the easiest ways to solve the greatest common divisor of 690, 522, 724, 609 i.e 1 in different methods as follows.
Given Input numbers are 690, 522, 724, 609
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 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
GCD of numbers is the greatest common divisor
So, the GCD (690, 522, 724, 609) = 1.
Given numbers are 690, 522, 724, 609
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 724 are 2 x 2 x 181
Prime factors of 609 are 3 x 7 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 522, 724, 609
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 522) = 60030
GCD(690, 522) = ( 690 x 522 ) / 60030
= 690 / 522
= 690
Step2:
LCM(6, 724) = 2172
GCD(6, 724) = ( 6 x 724 ) / 2172
= 6 / 724
= 6
Step3:
LCM(2, 609) = 1218
GCD(2, 609) = ( 2 x 609 ) / 1218
= 2 / 609
= 2
So, Greatest Common Divisor of 690, 522, 724, 609 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 522, 724, 609
The greatest common divisor of numbers 690, 522, 724, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 522, 724, 609 is 1.
1. What is the GCD of 690, 522, 724, 609?
GCD of given numbers 690, 522, 724, 609 is 1
2. How to calculate the greatest common divisor of 690, 522, 724, 609?
We can find the highest common divisor of 690, 522, 724, 609 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, 522, 724, 609 i.e 1.
3. How can I use the GCD of 690, 522, 724, 609Calculator?
Out the numbers 690, 522, 724, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.