Online GCD Calculator is useful to find the GCD of 138, 105, 890 quickly. Get the easiest ways to solve the greatest common divisor of 138, 105, 890 i.e 1 in different methods as follows.
Given Input numbers are 138, 105, 890
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (138, 105, 890) = 1.
Given numbers are 138, 105, 890
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 105 are 3 x 5 x 7
Prime factors of 890 are 2 x 5 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 105, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 105) = 4830
GCD(138, 105) = ( 138 x 105 ) / 4830
= 138 / 105
= 138
Step2:
LCM(3, 890) = 2670
GCD(3, 890) = ( 3 x 890 ) / 2670
= 3 / 890
= 3
So, Greatest Common Divisor of 138, 105, 890 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 105, 890
The greatest common divisor of numbers 138, 105, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 105, 890 is 1.
1. What is the GCD of 138, 105, 890?
GCD of given numbers 138, 105, 890 is 1
2. How to calculate the greatest common divisor of 138, 105, 890?
We can find the highest common divisor of 138, 105, 890 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 138, 105, 890 i.e 1.
3. How can I use the GCD of 138, 105, 890Calculator?
Out the numbers 138, 105, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.