Online GCD Calculator is useful to find the GCD of 378, 123, 374, 249 quickly. Get the easiest ways to solve the greatest common divisor of 378, 123, 374, 249 i.e 1 in different methods as follows.
Given Input numbers are 378, 123, 374, 249
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (378, 123, 374, 249) = 1.
Given numbers are 378, 123, 374, 249
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 123 are 3 x 41
Prime factors of 374 are 2 x 11 x 17
Prime factors of 249 are 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 123, 374, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 123) = 15498
GCD(378, 123) = ( 378 x 123 ) / 15498
= 378 / 123
= 378
Step2:
LCM(3, 374) = 1122
GCD(3, 374) = ( 3 x 374 ) / 1122
= 3 / 374
= 3
Step3:
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
= 1 / 249
= 1
So, Greatest Common Divisor of 378, 123, 374, 249 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 123, 374, 249
The greatest common divisor of numbers 378, 123, 374, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 123, 374, 249 is 1.
1. What is the GCD of 378, 123, 374, 249?
GCD of given numbers 378, 123, 374, 249 is 1
2. How to calculate the greatest common divisor of 378, 123, 374, 249?
We can find the highest common divisor of 378, 123, 374, 249 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 378, 123, 374, 249 i.e 1.
3. How can I use the GCD of 378, 123, 374, 249Calculator?
Out the numbers 378, 123, 374, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.