Online GCD Calculator is useful to find the GCD of 697, 169, 220 quickly. Get the easiest ways to solve the greatest common divisor of 697, 169, 220 i.e 1 in different methods as follows.
Given Input numbers are 697, 169, 220
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 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (697, 169, 220) = 1.
Given numbers are 697, 169, 220
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 169 are 13 x 13
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 169, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 169) = 117793
GCD(697, 169) = ( 697 x 169 ) / 117793
= 697 / 169
= 697
Step2:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 697, 169, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 169, 220
The greatest common divisor of numbers 697, 169, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 169, 220 is 1.
1. What is the GCD of 697, 169, 220?
GCD of given numbers 697, 169, 220 is 1
2. How to calculate the greatest common divisor of 697, 169, 220?
We can find the highest common divisor of 697, 169, 220 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, 169, 220 i.e 1.
3. How can I use the GCD of 697, 169, 220Calculator?
Out the numbers 697, 169, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.