Online GCD Calculator is useful to find the GCD of 538, 574, 704, 665 quickly. Get the easiest ways to solve the greatest common divisor of 538, 574, 704, 665 i.e 1 in different methods as follows.
Given Input numbers are 538, 574, 704, 665
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (538, 574, 704, 665) = 1.
Given numbers are 538, 574, 704, 665
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 574 are 2 x 7 x 41
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 665 are 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 538, 574, 704, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 574) = 154406
GCD(538, 574) = ( 538 x 574 ) / 154406
= 538 / 574
= 538
Step2:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
Step3:
LCM(2, 665) = 1330
GCD(2, 665) = ( 2 x 665 ) / 1330
= 2 / 665
= 2
So, Greatest Common Divisor of 538, 574, 704, 665 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 574, 704, 665
The greatest common divisor of numbers 538, 574, 704, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 574, 704, 665 is 1.
1. What is the GCD of 538, 574, 704, 665?
GCD of given numbers 538, 574, 704, 665 is 1
2. How to calculate the greatest common divisor of 538, 574, 704, 665?
We can find the highest common divisor of 538, 574, 704, 665 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 538, 574, 704, 665 i.e 1.
3. How can I use the GCD of 538, 574, 704, 665Calculator?
Out the numbers 538, 574, 704, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.