Online GCD Calculator is useful to find the GCD of 990, 138, 894, 273 quickly. Get the easiest ways to solve the greatest common divisor of 990, 138, 894, 273 i.e 3 in different methods as follows.
Given Input numbers are 990, 138, 894, 273
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
GCD of numbers is the greatest common divisor
So, the GCD (990, 138, 894, 273) = 3.
Given numbers are 990, 138, 894, 273
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 894 are 2 x 3 x 149
Prime factors of 273 are 3 x 7 x 13
The highest common occurrence is 31
Therefore, GCD of 990, 138, 894, 273 is 3.
Given numbers are 990, 138, 894, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 138) = 22770
GCD(990, 138) = ( 990 x 138 ) / 22770
= 990 / 138
= 990
Step2:
LCM(6, 894) = 894
GCD(6, 894) = ( 6 x 894 ) / 894
= 6 / 894
= 6
Step3:
LCM(6, 273) = 546
GCD(6, 273) = ( 6 x 273 ) / 546
= 6 / 273
= 6
So, Greatest Common Divisor of 990, 138, 894, 273 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 138, 894, 273
The greatest common divisor of numbers 990, 138, 894, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 138, 894, 273 is 3.
1. What is the GCD of 990, 138, 894, 273?
GCD of given numbers 990, 138, 894, 273 is 3
2. How to calculate the greatest common divisor of 990, 138, 894, 273?
We can find the highest common divisor of 990, 138, 894, 273 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 990, 138, 894, 273 i.e 3.
3. How can I use the GCD of 990, 138, 894, 273Calculator?
Out the numbers 990, 138, 894, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.