Online GCD Calculator is useful to find the GCD of 820, 825, 595, 697 quickly. Get the easiest ways to solve the greatest common divisor of 820, 825, 595, 697 i.e 1 in different methods as follows.
Given Input numbers are 820, 825, 595, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (820, 825, 595, 697) = 1.
Given numbers are 820, 825, 595, 697
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 595 are 5 x 7 x 17
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 825, 595, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 825) = 135300
GCD(820, 825) = ( 820 x 825 ) / 135300
= 820 / 825
= 820
Step2:
LCM(5, 595) = 595
GCD(5, 595) = ( 5 x 595 ) / 595
= 5 / 595
= 5
Step3:
LCM(5, 697) = 3485
GCD(5, 697) = ( 5 x 697 ) / 3485
= 5 / 697
= 5
So, Greatest Common Divisor of 820, 825, 595, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 825, 595, 697
The greatest common divisor of numbers 820, 825, 595, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 825, 595, 697 is 1.
1. What is the GCD of 820, 825, 595, 697?
GCD of given numbers 820, 825, 595, 697 is 1
2. How to calculate the greatest common divisor of 820, 825, 595, 697?
We can find the highest common divisor of 820, 825, 595, 697 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 820, 825, 595, 697 i.e 1.
3. How can I use the GCD of 820, 825, 595, 697Calculator?
Out the numbers 820, 825, 595, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.