Online GCD Calculator is useful to find the GCD of 268, 189, 450, 271 quickly. Get the easiest ways to solve the greatest common divisor of 268, 189, 450, 271 i.e 1 in different methods as follows.
Given Input numbers are 268, 189, 450, 271
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
GCD of numbers is the greatest common divisor
So, the GCD (268, 189, 450, 271) = 1.
Given numbers are 268, 189, 450, 271
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 271 are 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 268, 189, 450, 271
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 189) = 50652
GCD(268, 189) = ( 268 x 189 ) / 50652
= 268 / 189
= 268
Step2:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
Step3:
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
= 1 / 271
= 1
So, Greatest Common Divisor of 268, 189, 450, 271 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 189, 450, 271
The greatest common divisor of numbers 268, 189, 450, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 189, 450, 271 is 1.
1. What is the GCD of 268, 189, 450, 271?
GCD of given numbers 268, 189, 450, 271 is 1
2. How to calculate the greatest common divisor of 268, 189, 450, 271?
We can find the highest common divisor of 268, 189, 450, 271 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 268, 189, 450, 271 i.e 1.
3. How can I use the GCD of 268, 189, 450, 271Calculator?
Out the numbers 268, 189, 450, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.