Online GCD Calculator is useful to find the GCD of 993, 500, 420, 123 quickly. Get the easiest ways to solve the greatest common divisor of 993, 500, 420, 123 i.e 1 in different methods as follows.
Given Input numbers are 993, 500, 420, 123
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (993, 500, 420, 123) = 1.
Given numbers are 993, 500, 420, 123
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 993, 500, 420, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 500) = 496500
GCD(993, 500) = ( 993 x 500 ) / 496500
= 993 / 500
= 993
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 993, 500, 420, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 500, 420, 123
The greatest common divisor of numbers 993, 500, 420, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 500, 420, 123 is 1.
1. What is the GCD of 993, 500, 420, 123?
GCD of given numbers 993, 500, 420, 123 is 1
2. How to calculate the greatest common divisor of 993, 500, 420, 123?
We can find the highest common divisor of 993, 500, 420, 123 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, 500, 420, 123 i.e 1.
3. How can I use the GCD of 993, 500, 420, 123Calculator?
Out the numbers 993, 500, 420, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.