Online GCD Calculator is useful to find the GCD of 212, 302, 364, 149 quickly. Get the easiest ways to solve the greatest common divisor of 212, 302, 364, 149 i.e 1 in different methods as follows.
Given Input numbers are 212, 302, 364, 149
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 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (212, 302, 364, 149) = 1.
Given numbers are 212, 302, 364, 149
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 302 are 2 x 151
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 302, 364, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 302) = 32012
GCD(212, 302) = ( 212 x 302 ) / 32012
= 212 / 302
= 212
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
= 2 / 149
= 2
So, Greatest Common Divisor of 212, 302, 364, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 302, 364, 149
The greatest common divisor of numbers 212, 302, 364, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 302, 364, 149 is 1.
1. What is the GCD of 212, 302, 364, 149?
GCD of given numbers 212, 302, 364, 149 is 1
2. How to calculate the greatest common divisor of 212, 302, 364, 149?
We can find the highest common divisor of 212, 302, 364, 149 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, 302, 364, 149 i.e 1.
3. How can I use the GCD of 212, 302, 364, 149Calculator?
Out the numbers 212, 302, 364, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.