Online GCD Calculator is useful to find the GCD of 271, 787, 900, 189 quickly. Get the easiest ways to solve the greatest common divisor of 271, 787, 900, 189 i.e 1 in different methods as follows.
Given Input numbers are 271, 787, 900, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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 (271, 787, 900, 189) = 1.
Given numbers are 271, 787, 900, 189
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 787 are 787
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
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 271, 787, 900, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 787) = 213277
GCD(271, 787) = ( 271 x 787 ) / 213277
= 271 / 787
= 271
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 271, 787, 900, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 787, 900, 189
The greatest common divisor of numbers 271, 787, 900, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 787, 900, 189 is 1.
1. What is the GCD of 271, 787, 900, 189?
GCD of given numbers 271, 787, 900, 189 is 1
2. How to calculate the greatest common divisor of 271, 787, 900, 189?
We can find the highest common divisor of 271, 787, 900, 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 271, 787, 900, 189 i.e 1.
3. How can I use the GCD of 271, 787, 900, 189Calculator?
Out the numbers 271, 787, 900, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.