Online GCD Calculator is useful to find the GCD of 212, 242, 697, 164 quickly. Get the easiest ways to solve the greatest common divisor of 212, 242, 697, 164 i.e 1 in different methods as follows.
Given Input numbers are 212, 242, 697, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (212, 242, 697, 164) = 1.
Given numbers are 212, 242, 697, 164
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 242 are 2 x 11 x 11
Prime factors of 697 are 17 x 41
Prime factors of 164 are 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 242, 697, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 242) = 25652
GCD(212, 242) = ( 212 x 242 ) / 25652
= 212 / 242
= 212
Step2:
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
= 2 / 697
= 2
Step3:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
So, Greatest Common Divisor of 212, 242, 697, 164 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 242, 697, 164
The greatest common divisor of numbers 212, 242, 697, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 242, 697, 164 is 1.
1. What is the GCD of 212, 242, 697, 164?
GCD of given numbers 212, 242, 697, 164 is 1
2. How to calculate the greatest common divisor of 212, 242, 697, 164?
We can find the highest common divisor of 212, 242, 697, 164 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 212, 242, 697, 164 i.e 1.
3. How can I use the GCD of 212, 242, 697, 164Calculator?
Out the numbers 212, 242, 697, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.