Online GCD Calculator is useful to find the GCD of 322, 261, 273, 900 quickly. Get the easiest ways to solve the greatest common divisor of 322, 261, 273, 900 i.e 1 in different methods as follows.
Given Input numbers are 322, 261, 273, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
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
GCD of numbers is the greatest common divisor
So, the GCD (322, 261, 273, 900) = 1.
Given numbers are 322, 261, 273, 900
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 261 are 3 x 3 x 29
Prime factors of 273 are 3 x 7 x 13
Prime factors of 900 are 2 x 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 322, 261, 273, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 261) = 84042
GCD(322, 261) = ( 322 x 261 ) / 84042
= 322 / 261
= 322
Step2:
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
= 1 / 273
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 322, 261, 273, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 261, 273, 900
The greatest common divisor of numbers 322, 261, 273, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 261, 273, 900 is 1.
1. What is the GCD of 322, 261, 273, 900?
GCD of given numbers 322, 261, 273, 900 is 1
2. How to calculate the greatest common divisor of 322, 261, 273, 900?
We can find the highest common divisor of 322, 261, 273, 900 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 322, 261, 273, 900 i.e 1.
3. How can I use the GCD of 322, 261, 273, 900Calculator?
Out the numbers 322, 261, 273, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.