Online GCD Calculator is useful to find the GCD of 438, 873, 273, 693 quickly. Get the easiest ways to solve the greatest common divisor of 438, 873, 273, 693 i.e 3 in different methods as follows.
Given Input numbers are 438, 873, 273, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (438, 873, 273, 693) = 3.
Given numbers are 438, 873, 273, 693
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 873 are 3 x 3 x 97
Prime factors of 273 are 3 x 7 x 13
Prime factors of 693 are 3 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 438, 873, 273, 693 is 3.
Given numbers are 438, 873, 273, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 873) = 127458
GCD(438, 873) = ( 438 x 873 ) / 127458
= 438 / 873
= 438
Step2:
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
= 3 / 273
= 3
Step3:
LCM(3, 693) = 693
GCD(3, 693) = ( 3 x 693 ) / 693
= 3 / 693
= 3
So, Greatest Common Divisor of 438, 873, 273, 693 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 873, 273, 693
The greatest common divisor of numbers 438, 873, 273, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 873, 273, 693 is 3.
1. What is the GCD of 438, 873, 273, 693?
GCD of given numbers 438, 873, 273, 693 is 3
2. How to calculate the greatest common divisor of 438, 873, 273, 693?
We can find the highest common divisor of 438, 873, 273, 693 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 438, 873, 273, 693 i.e 3.
3. How can I use the GCD of 438, 873, 273, 693Calculator?
Out the numbers 438, 873, 273, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.