Online GCD Calculator is useful to find the GCD of 723, 198, 135, 362 quickly. Get the easiest ways to solve the greatest common divisor of 723, 198, 135, 362 i.e 1 in different methods as follows.
Given Input numbers are 723, 198, 135, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (723, 198, 135, 362) = 1.
Given numbers are 723, 198, 135, 362
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 198, 135, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 198) = 47718
GCD(723, 198) = ( 723 x 198 ) / 47718
= 723 / 198
= 723
Step2:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
Step3:
LCM(3, 362) = 1086
GCD(3, 362) = ( 3 x 362 ) / 1086
= 3 / 362
= 3
So, Greatest Common Divisor of 723, 198, 135, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 198, 135, 362
The greatest common divisor of numbers 723, 198, 135, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 198, 135, 362 is 1.
1. What is the GCD of 723, 198, 135, 362?
GCD of given numbers 723, 198, 135, 362 is 1
2. How to calculate the greatest common divisor of 723, 198, 135, 362?
We can find the highest common divisor of 723, 198, 135, 362 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 723, 198, 135, 362 i.e 1.
3. How can I use the GCD of 723, 198, 135, 362Calculator?
Out the numbers 723, 198, 135, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.