Online GCD Calculator is useful to find the GCD of 364, 377, 149 quickly. Get the easiest ways to solve the greatest common divisor of 364, 377, 149 i.e 1 in different methods as follows.
Given Input numbers are 364, 377, 149
In the factoring method, we have to find the divisors of all numbers
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 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
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 (364, 377, 149) = 1.
Given numbers are 364, 377, 149
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 377 are 13 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 364, 377, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 377) = 10556
GCD(364, 377) = ( 364 x 377 ) / 10556
= 364 / 377
= 364
Step2:
LCM(13, 149) = 1937
GCD(13, 149) = ( 13 x 149 ) / 1937
= 13 / 149
= 13
So, Greatest Common Divisor of 364, 377, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 377, 149
The greatest common divisor of numbers 364, 377, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 377, 149 is 1.
1. What is the GCD of 364, 377, 149?
GCD of given numbers 364, 377, 149 is 1
2. How to calculate the greatest common divisor of 364, 377, 149?
We can find the highest common divisor of 364, 377, 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 364, 377, 149 i.e 1.
3. How can I use the GCD of 364, 377, 149Calculator?
Out the numbers 364, 377, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.