Online GCD Calculator is useful to find the GCD of 232, 121, 697, 343 quickly. Get the easiest ways to solve the greatest common divisor of 232, 121, 697, 343 i.e 1 in different methods as follows.
Given Input numbers are 232, 121, 697, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (232, 121, 697, 343) = 1.
Given numbers are 232, 121, 697, 343
The list of prime factors of all numbers are
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 121 are 11 x 11
Prime factors of 697 are 17 x 41
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 232, 121, 697, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(232, 121) = 28072
GCD(232, 121) = ( 232 x 121 ) / 28072
= 232 / 121
= 232
Step2:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 232, 121, 697, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 232, 121, 697, 343
The greatest common divisor of numbers 232, 121, 697, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 121, 697, 343 is 1.
1. What is the GCD of 232, 121, 697, 343?
GCD of given numbers 232, 121, 697, 343 is 1
2. How to calculate the greatest common divisor of 232, 121, 697, 343?
We can find the highest common divisor of 232, 121, 697, 343 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 232, 121, 697, 343 i.e 1.
3. How can I use the GCD of 232, 121, 697, 343Calculator?
Out the numbers 232, 121, 697, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.