Online GCD Calculator is useful to find the GCD of 573, 438, 687 quickly. Get the easiest ways to solve the greatest common divisor of 573, 438, 687 i.e 3 in different methods as follows.
Given Input numbers are 573, 438, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (573, 438, 687) = 3.
Given numbers are 573, 438, 687
The list of prime factors of all numbers are
Prime factors of 573 are 3 x 191
Prime factors of 438 are 2 x 3 x 73
Prime factors of 687 are 3 x 229
The highest common occurrence is 31
Therefore, GCD of 573, 438, 687 is 3.
Given numbers are 573, 438, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(573, 438) = 83658
GCD(573, 438) = ( 573 x 438 ) / 83658
= 573 / 438
= 573
Step2:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
So, Greatest Common Divisor of 573, 438, 687 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 573, 438, 687
The greatest common divisor of numbers 573, 438, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 573, 438, 687 is 3.
1. What is the GCD of 573, 438, 687?
GCD of given numbers 573, 438, 687 is 3
2. How to calculate the greatest common divisor of 573, 438, 687?
We can find the highest common divisor of 573, 438, 687 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 573, 438, 687 i.e 3.
3. How can I use the GCD of 573, 438, 687Calculator?
Out the numbers 573, 438, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.