Online GCD Calculator is useful to find the GCD of 890, 345, 138, 225 quickly. Get the easiest ways to solve the greatest common divisor of 890, 345, 138, 225 i.e 1 in different methods as follows.
Given Input numbers are 890, 345, 138, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (890, 345, 138, 225) = 1.
Given numbers are 890, 345, 138, 225
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 345 are 3 x 5 x 23
Prime factors of 138 are 2 x 3 x 23
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 890, 345, 138, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 345) = 61410
GCD(890, 345) = ( 890 x 345 ) / 61410
= 890 / 345
= 890
Step2:
LCM(5, 138) = 690
GCD(5, 138) = ( 5 x 138 ) / 690
= 5 / 138
= 5
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 890, 345, 138, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 345, 138, 225
The greatest common divisor of numbers 890, 345, 138, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 345, 138, 225 is 1.
1. What is the GCD of 890, 345, 138, 225?
GCD of given numbers 890, 345, 138, 225 is 1
2. How to calculate the greatest common divisor of 890, 345, 138, 225?
We can find the highest common divisor of 890, 345, 138, 225 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 890, 345, 138, 225 i.e 1.
3. How can I use the GCD of 890, 345, 138, 225Calculator?
Out the numbers 890, 345, 138, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.