Online GCD Calculator is useful to find the GCD of 180, 300, 139, 450 quickly. Get the easiest ways to solve the greatest common divisor of 180, 300, 139, 450 i.e 1 in different methods as follows.
Given Input numbers are 180, 300, 139, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (180, 300, 139, 450) = 1.
Given numbers are 180, 300, 139, 450
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 139 are 139
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 300, 139, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 300) = 900
GCD(180, 300) = ( 180 x 300 ) / 900
= 180 / 300
= 180
Step2:
LCM(60, 139) = 8340
GCD(60, 139) = ( 60 x 139 ) / 8340
= 60 / 139
= 60
Step3:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
So, Greatest Common Divisor of 180, 300, 139, 450 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 300, 139, 450
The greatest common divisor of numbers 180, 300, 139, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 300, 139, 450 is 1.
1. What is the GCD of 180, 300, 139, 450?
GCD of given numbers 180, 300, 139, 450 is 1
2. How to calculate the greatest common divisor of 180, 300, 139, 450?
We can find the highest common divisor of 180, 300, 139, 450 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 180, 300, 139, 450 i.e 1.
3. How can I use the GCD of 180, 300, 139, 450Calculator?
Out the numbers 180, 300, 139, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.