Online GCD Calculator is useful to find the GCD of 308, 427, 361, 138 quickly. Get the easiest ways to solve the greatest common divisor of 308, 427, 361, 138 i.e 1 in different methods as follows.
Given Input numbers are 308, 427, 361, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (308, 427, 361, 138) = 1.
Given numbers are 308, 427, 361, 138
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 427 are 7 x 61
Prime factors of 361 are 19 x 19
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 427, 361, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 427) = 18788
GCD(308, 427) = ( 308 x 427 ) / 18788
= 308 / 427
= 308
Step2:
LCM(7, 361) = 2527
GCD(7, 361) = ( 7 x 361 ) / 2527
= 7 / 361
= 7
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 308, 427, 361, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 427, 361, 138
The greatest common divisor of numbers 308, 427, 361, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 427, 361, 138 is 1.
1. What is the GCD of 308, 427, 361, 138?
GCD of given numbers 308, 427, 361, 138 is 1
2. How to calculate the greatest common divisor of 308, 427, 361, 138?
We can find the highest common divisor of 308, 427, 361, 138 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 308, 427, 361, 138 i.e 1.
3. How can I use the GCD of 308, 427, 361, 138Calculator?
Out the numbers 308, 427, 361, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.