Online GCD Calculator is useful to find the GCD of 281, 731, 398, 180 quickly. Get the easiest ways to solve the greatest common divisor of 281, 731, 398, 180 i.e 1 in different methods as follows.
Given Input numbers are 281, 731, 398, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 281 :
The positive integer divisors of 281 that completely divides 281 are.
1, 281
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
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
GCD of numbers is the greatest common divisor
So, the GCD (281, 731, 398, 180) = 1.
Given numbers are 281, 731, 398, 180
The list of prime factors of all numbers are
Prime factors of 281 are 281
Prime factors of 731 are 17 x 43
Prime factors of 398 are 2 x 199
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 281, 731, 398, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(281, 731) = 205411
GCD(281, 731) = ( 281 x 731 ) / 205411
= 281 / 731
= 281
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 281, 731, 398, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 281, 731, 398, 180
The greatest common divisor of numbers 281, 731, 398, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 281, 731, 398, 180 is 1.
1. What is the GCD of 281, 731, 398, 180?
GCD of given numbers 281, 731, 398, 180 is 1
2. How to calculate the greatest common divisor of 281, 731, 398, 180?
We can find the highest common divisor of 281, 731, 398, 180 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 281, 731, 398, 180 i.e 1.
3. How can I use the GCD of 281, 731, 398, 180Calculator?
Out the numbers 281, 731, 398, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.