Online GCD Calculator is useful to find the GCD of 273, 321, 921, 378 quickly. Get the easiest ways to solve the greatest common divisor of 273, 321, 921, 378 i.e 3 in different methods as follows.
Given Input numbers are 273, 321, 921, 378
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 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (273, 321, 921, 378) = 3.
Given numbers are 273, 321, 921, 378
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 321 are 3 x 107
Prime factors of 921 are 3 x 307
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 273, 321, 921, 378 is 3.
Given numbers are 273, 321, 921, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 321) = 29211
GCD(273, 321) = ( 273 x 321 ) / 29211
= 273 / 321
= 273
Step2:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
Step3:
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
= 3 / 378
= 3
So, Greatest Common Divisor of 273, 321, 921, 378 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 321, 921, 378
The greatest common divisor of numbers 273, 321, 921, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 321, 921, 378 is 3.
1. What is the GCD of 273, 321, 921, 378?
GCD of given numbers 273, 321, 921, 378 is 3
2. How to calculate the greatest common divisor of 273, 321, 921, 378?
We can find the highest common divisor of 273, 321, 921, 378 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, 321, 921, 378 i.e 3.
3. How can I use the GCD of 273, 321, 921, 378Calculator?
Out the numbers 273, 321, 921, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.