Online GCD Calculator is useful to find the GCD of 362, 474, 493, 825 quickly. Get the easiest ways to solve the greatest common divisor of 362, 474, 493, 825 i.e 1 in different methods as follows.
Given Input numbers are 362, 474, 493, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (362, 474, 493, 825) = 1.
Given numbers are 362, 474, 493, 825
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 474 are 2 x 3 x 79
Prime factors of 493 are 17 x 29
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 474, 493, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 474) = 85794
GCD(362, 474) = ( 362 x 474 ) / 85794
= 362 / 474
= 362
Step2:
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
= 2 / 493
= 2
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 362, 474, 493, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 474, 493, 825
The greatest common divisor of numbers 362, 474, 493, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 474, 493, 825 is 1.
1. What is the GCD of 362, 474, 493, 825?
GCD of given numbers 362, 474, 493, 825 is 1
2. How to calculate the greatest common divisor of 362, 474, 493, 825?
We can find the highest common divisor of 362, 474, 493, 825 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 362, 474, 493, 825 i.e 1.
3. How can I use the GCD of 362, 474, 493, 825Calculator?
Out the numbers 362, 474, 493, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.