Online GCD Calculator is useful to find the GCD of 697, 120, 221, 297 quickly. Get the easiest ways to solve the greatest common divisor of 697, 120, 221, 297 i.e 1 in different methods as follows.
Given Input numbers are 697, 120, 221, 297
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (697, 120, 221, 297) = 1.
Given numbers are 697, 120, 221, 297
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 221 are 13 x 17
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 120, 221, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 120) = 83640
GCD(697, 120) = ( 697 x 120 ) / 83640
= 697 / 120
= 697
Step2:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
Step3:
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
= 1 / 297
= 1
So, Greatest Common Divisor of 697, 120, 221, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 120, 221, 297
The greatest common divisor of numbers 697, 120, 221, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 120, 221, 297 is 1.
1. What is the GCD of 697, 120, 221, 297?
GCD of given numbers 697, 120, 221, 297 is 1
2. How to calculate the greatest common divisor of 697, 120, 221, 297?
We can find the highest common divisor of 697, 120, 221, 297 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, 120, 221, 297 i.e 1.
3. How can I use the GCD of 697, 120, 221, 297Calculator?
Out the numbers 697, 120, 221, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.