Online GCD Calculator is useful to find the GCD of 569, 112, 738, 697 quickly. Get the easiest ways to solve the greatest common divisor of 569, 112, 738, 697 i.e 1 in different methods as follows.
Given Input numbers are 569, 112, 738, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 569 :
The positive integer divisors of 569 that completely divides 569 are.
1, 569
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 (569, 112, 738, 697) = 1.
Given numbers are 569, 112, 738, 697
The list of prime factors of all numbers are
Prime factors of 569 are 569
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 738 are 2 x 3 x 3 x 41
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 569, 112, 738, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(569, 112) = 63728
GCD(569, 112) = ( 569 x 112 ) / 63728
= 569 / 112
= 569
Step2:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 569, 112, 738, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 569, 112, 738, 697
The greatest common divisor of numbers 569, 112, 738, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 569, 112, 738, 697 is 1.
1. What is the GCD of 569, 112, 738, 697?
GCD of given numbers 569, 112, 738, 697 is 1
2. How to calculate the greatest common divisor of 569, 112, 738, 697?
We can find the highest common divisor of 569, 112, 738, 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 569, 112, 738, 697 i.e 1.
3. How can I use the GCD of 569, 112, 738, 697Calculator?
Out the numbers 569, 112, 738, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.