Online GCD Calculator is useful to find the GCD of 390, 567, 722, 497 quickly. Get the easiest ways to solve the greatest common divisor of 390, 567, 722, 497 i.e 1 in different methods as follows.
Given Input numbers are 390, 567, 722, 497
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
GCD of numbers is the greatest common divisor
So, the GCD (390, 567, 722, 497) = 1.
Given numbers are 390, 567, 722, 497
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 722 are 2 x 19 x 19
Prime factors of 497 are 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 390, 567, 722, 497
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 567) = 73710
GCD(390, 567) = ( 390 x 567 ) / 73710
= 390 / 567
= 390
Step2:
LCM(3, 722) = 2166
GCD(3, 722) = ( 3 x 722 ) / 2166
= 3 / 722
= 3
Step3:
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
= 1 / 497
= 1
So, Greatest Common Divisor of 390, 567, 722, 497 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 567, 722, 497
The greatest common divisor of numbers 390, 567, 722, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 567, 722, 497 is 1.
1. What is the GCD of 390, 567, 722, 497?
GCD of given numbers 390, 567, 722, 497 is 1
2. How to calculate the greatest common divisor of 390, 567, 722, 497?
We can find the highest common divisor of 390, 567, 722, 497 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 390, 567, 722, 497 i.e 1.
3. How can I use the GCD of 390, 567, 722, 497Calculator?
Out the numbers 390, 567, 722, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.