Online GCD Calculator is useful to find the GCD of 137, 312, 308, 578 quickly. Get the easiest ways to solve the greatest common divisor of 137, 312, 308, 578 i.e 1 in different methods as follows.
Given Input numbers are 137, 312, 308, 578
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
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 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 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
GCD of numbers is the greatest common divisor
So, the GCD (137, 312, 308, 578) = 1.
Given numbers are 137, 312, 308, 578
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 578 are 2 x 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 312, 308, 578
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 312) = 42744
GCD(137, 312) = ( 137 x 312 ) / 42744
= 137 / 312
= 137
Step2:
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
= 1 / 308
= 1
Step3:
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
= 1 / 578
= 1
So, Greatest Common Divisor of 137, 312, 308, 578 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 312, 308, 578
The greatest common divisor of numbers 137, 312, 308, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 312, 308, 578 is 1.
1. What is the GCD of 137, 312, 308, 578?
GCD of given numbers 137, 312, 308, 578 is 1
2. How to calculate the greatest common divisor of 137, 312, 308, 578?
We can find the highest common divisor of 137, 312, 308, 578 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 137, 312, 308, 578 i.e 1.
3. How can I use the GCD of 137, 312, 308, 578Calculator?
Out the numbers 137, 312, 308, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.