Online GCD Calculator is useful to find the GCD of 274, 103, 381 quickly. Get the easiest ways to solve the greatest common divisor of 274, 103, 381 i.e 1 in different methods as follows.
Given Input numbers are 274, 103, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (274, 103, 381) = 1.
Given numbers are 274, 103, 381
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 103 are 103
Prime factors of 381 are 3 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 103, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 103) = 28222
GCD(274, 103) = ( 274 x 103 ) / 28222
= 274 / 103
= 274
Step2:
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
= 1 / 381
= 1
So, Greatest Common Divisor of 274, 103, 381 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 103, 381
The greatest common divisor of numbers 274, 103, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 103, 381 is 1.
1. What is the GCD of 274, 103, 381?
GCD of given numbers 274, 103, 381 is 1
2. How to calculate the greatest common divisor of 274, 103, 381?
We can find the highest common divisor of 274, 103, 381 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 274, 103, 381 i.e 1.
3. How can I use the GCD of 274, 103, 381Calculator?
Out the numbers 274, 103, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.