Online GCD Calculator is useful to find the GCD of 100, 581, 46, 189 quickly. Get the easiest ways to solve the greatest common divisor of 100, 581, 46, 189 i.e 1 in different methods as follows.
Given Input numbers are 100, 581, 46, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 581 :
The positive integer divisors of 581 that completely divides 581 are.
1, 7, 83, 581
Divisors of 46 :
The positive integer divisors of 46 that completely divides 46 are.
1, 2, 23, 46
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (100, 581, 46, 189) = 1.
Given numbers are 100, 581, 46, 189
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 581 are 7 x 83
Prime factors of 46 are 2 x 23
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 581, 46, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 581) = 58100
GCD(100, 581) = ( 100 x 581 ) / 58100
= 100 / 581
= 100
Step2:
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
= 1 / 46
= 1
Step3:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 100, 581, 46, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 581, 46, 189
The greatest common divisor of numbers 100, 581, 46, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 581, 46, 189 is 1.
1. What is the GCD of 100, 581, 46, 189?
GCD of given numbers 100, 581, 46, 189 is 1
2. How to calculate the greatest common divisor of 100, 581, 46, 189?
We can find the highest common divisor of 100, 581, 46, 189 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 100, 581, 46, 189 i.e 1.
3. How can I use the GCD of 100, 581, 46, 189Calculator?
Out the numbers 100, 581, 46, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.