Online GCD Calculator is useful to find the GCD of 900, 297, 831, 271 quickly. Get the easiest ways to solve the greatest common divisor of 900, 297, 831, 271 i.e 1 in different methods as follows.
Given Input numbers are 900, 297, 831, 271
In the factoring method, we have to find the divisors of all numbers
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
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 (900, 297, 831, 271) = 1.
Given numbers are 900, 297, 831, 271
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 831 are 3 x 277
Prime factors of 271 are 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 297, 831, 271
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 297) = 29700
GCD(900, 297) = ( 900 x 297 ) / 29700
= 900 / 297
= 900
Step2:
LCM(9, 831) = 2493
GCD(9, 831) = ( 9 x 831 ) / 2493
= 9 / 831
= 9
Step3:
LCM(3, 271) = 813
GCD(3, 271) = ( 3 x 271 ) / 813
= 3 / 271
= 3
So, Greatest Common Divisor of 900, 297, 831, 271 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 297, 831, 271
The greatest common divisor of numbers 900, 297, 831, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 297, 831, 271 is 1.
1. What is the GCD of 900, 297, 831, 271?
GCD of given numbers 900, 297, 831, 271 is 1
2. How to calculate the greatest common divisor of 900, 297, 831, 271?
We can find the highest common divisor of 900, 297, 831, 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 900, 297, 831, 271 i.e 1.
3. How can I use the GCD of 900, 297, 831, 271Calculator?
Out the numbers 900, 297, 831, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.