Online GCD Calculator is useful to find the GCD of 321, 741, 522, 313 quickly. Get the easiest ways to solve the greatest common divisor of 321, 741, 522, 313 i.e 1 in different methods as follows.
Given Input numbers are 321, 741, 522, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (321, 741, 522, 313) = 1.
Given numbers are 321, 741, 522, 313
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 741 are 3 x 13 x 19
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 321, 741, 522, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 741) = 79287
GCD(321, 741) = ( 321 x 741 ) / 79287
= 321 / 741
= 321
Step2:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
Step3:
LCM(3, 313) = 939
GCD(3, 313) = ( 3 x 313 ) / 939
= 3 / 313
= 3
So, Greatest Common Divisor of 321, 741, 522, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 741, 522, 313
The greatest common divisor of numbers 321, 741, 522, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 741, 522, 313 is 1.
1. What is the GCD of 321, 741, 522, 313?
GCD of given numbers 321, 741, 522, 313 is 1
2. How to calculate the greatest common divisor of 321, 741, 522, 313?
We can find the highest common divisor of 321, 741, 522, 313 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 321, 741, 522, 313 i.e 1.
3. How can I use the GCD of 321, 741, 522, 313Calculator?
Out the numbers 321, 741, 522, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.