Online GCD Calculator is useful to find the GCD of 312, 386, 174, 149 quickly. Get the easiest ways to solve the greatest common divisor of 312, 386, 174, 149 i.e 1 in different methods as follows.
Given Input numbers are 312, 386, 174, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
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 (312, 386, 174, 149) = 1.
Given numbers are 312, 386, 174, 149
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 386 are 2 x 193
Prime factors of 174 are 2 x 3 x 29
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 386, 174, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 386) = 60216
GCD(312, 386) = ( 312 x 386 ) / 60216
= 312 / 386
= 312
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
= 2 / 149
= 2
So, Greatest Common Divisor of 312, 386, 174, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 386, 174, 149
The greatest common divisor of numbers 312, 386, 174, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 386, 174, 149 is 1.
1. What is the GCD of 312, 386, 174, 149?
GCD of given numbers 312, 386, 174, 149 is 1
2. How to calculate the greatest common divisor of 312, 386, 174, 149?
We can find the highest common divisor of 312, 386, 174, 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 312, 386, 174, 149 i.e 1.
3. How can I use the GCD of 312, 386, 174, 149Calculator?
Out the numbers 312, 386, 174, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.