Online GCD Calculator is useful to find the GCD of 996, 273, 243, 921 quickly. Get the easiest ways to solve the greatest common divisor of 996, 273, 243, 921 i.e 3 in different methods as follows.
Given Input numbers are 996, 273, 243, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (996, 273, 243, 921) = 3.
Given numbers are 996, 273, 243, 921
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 273 are 3 x 7 x 13
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 996, 273, 243, 921 is 3.
Given numbers are 996, 273, 243, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 273) = 90636
GCD(996, 273) = ( 996 x 273 ) / 90636
= 996 / 273
= 996
Step2:
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
= 3 / 243
= 3
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 996, 273, 243, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 273, 243, 921
The greatest common divisor of numbers 996, 273, 243, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 273, 243, 921 is 3.
1. What is the GCD of 996, 273, 243, 921?
GCD of given numbers 996, 273, 243, 921 is 3
2. How to calculate the greatest common divisor of 996, 273, 243, 921?
We can find the highest common divisor of 996, 273, 243, 921 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 996, 273, 243, 921 i.e 3.
3. How can I use the GCD of 996, 273, 243, 921Calculator?
Out the numbers 996, 273, 243, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.