Online GCD Calculator is useful to find the GCD of 657, 231, 399, 273 quickly. Get the easiest ways to solve the greatest common divisor of 657, 231, 399, 273 i.e 3 in different methods as follows.
Given Input numbers are 657, 231, 399, 273
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
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 (657, 231, 399, 273) = 3.
Given numbers are 657, 231, 399, 273
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 231 are 3 x 7 x 11
Prime factors of 399 are 3 x 7 x 19
Prime factors of 273 are 3 x 7 x 13
The highest common occurrence is 31
Therefore, GCD of 657, 231, 399, 273 is 3.
Given numbers are 657, 231, 399, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 231) = 50589
GCD(657, 231) = ( 657 x 231 ) / 50589
= 657 / 231
= 657
Step2:
LCM(3, 399) = 399
GCD(3, 399) = ( 3 x 399 ) / 399
= 3 / 399
= 3
Step3:
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
= 3 / 273
= 3
So, Greatest Common Divisor of 657, 231, 399, 273 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 231, 399, 273
The greatest common divisor of numbers 657, 231, 399, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 231, 399, 273 is 3.
1. What is the GCD of 657, 231, 399, 273?
GCD of given numbers 657, 231, 399, 273 is 3
2. How to calculate the greatest common divisor of 657, 231, 399, 273?
We can find the highest common divisor of 657, 231, 399, 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 657, 231, 399, 273 i.e 3.
3. How can I use the GCD of 657, 231, 399, 273Calculator?
Out the numbers 657, 231, 399, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.