Online GCD Calculator is useful to find the GCD of 993, 687, 432, 731 quickly. Get the easiest ways to solve the greatest common divisor of 993, 687, 432, 731 i.e 1 in different methods as follows.
Given Input numbers are 993, 687, 432, 731
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (993, 687, 432, 731) = 1.
Given numbers are 993, 687, 432, 731
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 687 are 3 x 229
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 993, 687, 432, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 687) = 227397
GCD(993, 687) = ( 993 x 687 ) / 227397
= 993 / 687
= 993
Step2:
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
= 3 / 432
= 3
Step3:
LCM(3, 731) = 2193
GCD(3, 731) = ( 3 x 731 ) / 2193
= 3 / 731
= 3
So, Greatest Common Divisor of 993, 687, 432, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 687, 432, 731
The greatest common divisor of numbers 993, 687, 432, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 687, 432, 731 is 1.
1. What is the GCD of 993, 687, 432, 731?
GCD of given numbers 993, 687, 432, 731 is 1
2. How to calculate the greatest common divisor of 993, 687, 432, 731?
We can find the highest common divisor of 993, 687, 432, 731 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 993, 687, 432, 731 i.e 1.
3. How can I use the GCD of 993, 687, 432, 731Calculator?
Out the numbers 993, 687, 432, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.