Online GCD Calculator is useful to find the GCD of 890, 561, 456, 138 quickly. Get the easiest ways to solve the greatest common divisor of 890, 561, 456, 138 i.e 1 in different methods as follows.
Given Input numbers are 890, 561, 456, 138
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 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 (890, 561, 456, 138) = 1.
Given numbers are 890, 561, 456, 138
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 561 are 3 x 11 x 17
Prime factors of 456 are 2 x 2 x 2 x 3 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 890, 561, 456, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 561) = 499290
GCD(890, 561) = ( 890 x 561 ) / 499290
= 890 / 561
= 890
Step2:
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
= 1 / 456
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 890, 561, 456, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 561, 456, 138
The greatest common divisor of numbers 890, 561, 456, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 561, 456, 138 is 1.
1. What is the GCD of 890, 561, 456, 138?
GCD of given numbers 890, 561, 456, 138 is 1
2. How to calculate the greatest common divisor of 890, 561, 456, 138?
We can find the highest common divisor of 890, 561, 456, 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 890, 561, 456, 138 i.e 1.
3. How can I use the GCD of 890, 561, 456, 138Calculator?
Out the numbers 890, 561, 456, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.