Online GCD Calculator is useful to find the GCD of 273, 954, 492, 822 quickly. Get the easiest ways to solve the greatest common divisor of 273, 954, 492, 822 i.e 3 in different methods as follows.
Given Input numbers are 273, 954, 492, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (273, 954, 492, 822) = 3.
Given numbers are 273, 954, 492, 822
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 31
Therefore, GCD of 273, 954, 492, 822 is 3.
Given numbers are 273, 954, 492, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 954) = 86814
GCD(273, 954) = ( 273 x 954 ) / 86814
= 273 / 954
= 273
Step2:
LCM(3, 492) = 492
GCD(3, 492) = ( 3 x 492 ) / 492
= 3 / 492
= 3
Step3:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
So, Greatest Common Divisor of 273, 954, 492, 822 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 954, 492, 822
The greatest common divisor of numbers 273, 954, 492, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 954, 492, 822 is 3.
1. What is the GCD of 273, 954, 492, 822?
GCD of given numbers 273, 954, 492, 822 is 3
2. How to calculate the greatest common divisor of 273, 954, 492, 822?
We can find the highest common divisor of 273, 954, 492, 822 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 273, 954, 492, 822 i.e 3.
3. How can I use the GCD of 273, 954, 492, 822Calculator?
Out the numbers 273, 954, 492, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.