Online GCD Calculator is useful to find the GCD of 548, 724, 458, 361 quickly. Get the easiest ways to solve the greatest common divisor of 548, 724, 458, 361 i.e 1 in different methods as follows.
Given Input numbers are 548, 724, 458, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (548, 724, 458, 361) = 1.
Given numbers are 548, 724, 458, 361
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 724 are 2 x 2 x 181
Prime factors of 458 are 2 x 229
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 548, 724, 458, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 724) = 99188
GCD(548, 724) = ( 548 x 724 ) / 99188
= 548 / 724
= 548
Step2:
LCM(4, 458) = 916
GCD(4, 458) = ( 4 x 458 ) / 916
= 4 / 458
= 4
Step3:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
So, Greatest Common Divisor of 548, 724, 458, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 724, 458, 361
The greatest common divisor of numbers 548, 724, 458, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 724, 458, 361 is 1.
1. What is the GCD of 548, 724, 458, 361?
GCD of given numbers 548, 724, 458, 361 is 1
2. How to calculate the greatest common divisor of 548, 724, 458, 361?
We can find the highest common divisor of 548, 724, 458, 361 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 548, 724, 458, 361 i.e 1.
3. How can I use the GCD of 548, 724, 458, 361Calculator?
Out the numbers 548, 724, 458, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.