Online GCD Calculator is useful to find the GCD of 633, 438, 687, 696 quickly. Get the easiest ways to solve the greatest common divisor of 633, 438, 687, 696 i.e 3 in different methods as follows.
Given Input numbers are 633, 438, 687, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
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
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (633, 438, 687, 696) = 3.
Given numbers are 633, 438, 687, 696
The list of prime factors of all numbers are
Prime factors of 633 are 3 x 211
Prime factors of 438 are 2 x 3 x 73
Prime factors of 687 are 3 x 229
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 633, 438, 687, 696 is 3.
Given numbers are 633, 438, 687, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(633, 438) = 92418
GCD(633, 438) = ( 633 x 438 ) / 92418
= 633 / 438
= 633
Step2:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
Step3:
LCM(3, 696) = 696
GCD(3, 696) = ( 3 x 696 ) / 696
= 3 / 696
= 3
So, Greatest Common Divisor of 633, 438, 687, 696 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 633, 438, 687, 696
The greatest common divisor of numbers 633, 438, 687, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 633, 438, 687, 696 is 3.
1. What is the GCD of 633, 438, 687, 696?
GCD of given numbers 633, 438, 687, 696 is 3
2. How to calculate the greatest common divisor of 633, 438, 687, 696?
We can find the highest common divisor of 633, 438, 687, 696 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 633, 438, 687, 696 i.e 3.
3. How can I use the GCD of 633, 438, 687, 696Calculator?
Out the numbers 633, 438, 687, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.