Online GCD Calculator is useful to find the GCD of 697, 217, 428 quickly. Get the easiest ways to solve the greatest common divisor of 697, 217, 428 i.e 1 in different methods as follows.
Given Input numbers are 697, 217, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (697, 217, 428) = 1.
Given numbers are 697, 217, 428
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 217 are 7 x 31
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 217, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 217) = 151249
GCD(697, 217) = ( 697 x 217 ) / 151249
= 697 / 217
= 697
Step2:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 697, 217, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 217, 428
The greatest common divisor of numbers 697, 217, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 217, 428 is 1.
1. What is the GCD of 697, 217, 428?
GCD of given numbers 697, 217, 428 is 1
2. How to calculate the greatest common divisor of 697, 217, 428?
We can find the highest common divisor of 697, 217, 428 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 697, 217, 428 i.e 1.
3. How can I use the GCD of 697, 217, 428Calculator?
Out the numbers 697, 217, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.