Online GCD Calculator is useful to find the GCD of 390, 374, 931, 138 quickly. Get the easiest ways to solve the greatest common divisor of 390, 374, 931, 138 i.e 1 in different methods as follows.
Given Input numbers are 390, 374, 931, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
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 (390, 374, 931, 138) = 1.
Given numbers are 390, 374, 931, 138
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 374 are 2 x 11 x 17
Prime factors of 931 are 7 x 7 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 390, 374, 931, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 374) = 72930
GCD(390, 374) = ( 390 x 374 ) / 72930
= 390 / 374
= 390
Step2:
LCM(2, 931) = 1862
GCD(2, 931) = ( 2 x 931 ) / 1862
= 2 / 931
= 2
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 390, 374, 931, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 374, 931, 138
The greatest common divisor of numbers 390, 374, 931, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 374, 931, 138 is 1.
1. What is the GCD of 390, 374, 931, 138?
GCD of given numbers 390, 374, 931, 138 is 1
2. How to calculate the greatest common divisor of 390, 374, 931, 138?
We can find the highest common divisor of 390, 374, 931, 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 390, 374, 931, 138 i.e 1.
3. How can I use the GCD of 390, 374, 931, 138Calculator?
Out the numbers 390, 374, 931, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.