Online GCD Calculator is useful to find the GCD of 738, 210, 742, 993 quickly. Get the easiest ways to solve the greatest common divisor of 738, 210, 742, 993 i.e 1 in different methods as follows.
Given Input numbers are 738, 210, 742, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (738, 210, 742, 993) = 1.
Given numbers are 738, 210, 742, 993
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 742 are 2 x 7 x 53
Prime factors of 993 are 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 210, 742, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 210) = 25830
GCD(738, 210) = ( 738 x 210 ) / 25830
= 738 / 210
= 738
Step2:
LCM(6, 742) = 2226
GCD(6, 742) = ( 6 x 742 ) / 2226
= 6 / 742
= 6
Step3:
LCM(2, 993) = 1986
GCD(2, 993) = ( 2 x 993 ) / 1986
= 2 / 993
= 2
So, Greatest Common Divisor of 738, 210, 742, 993 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 210, 742, 993
The greatest common divisor of numbers 738, 210, 742, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 210, 742, 993 is 1.
1. What is the GCD of 738, 210, 742, 993?
GCD of given numbers 738, 210, 742, 993 is 1
2. How to calculate the greatest common divisor of 738, 210, 742, 993?
We can find the highest common divisor of 738, 210, 742, 993 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 738, 210, 742, 993 i.e 1.
3. How can I use the GCD of 738, 210, 742, 993Calculator?
Out the numbers 738, 210, 742, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.