Online GCD Calculator is useful to find the GCD of 742, 583, 595, 398 quickly. Get the easiest ways to solve the greatest common divisor of 742, 583, 595, 398 i.e 1 in different methods as follows.
Given Input numbers are 742, 583, 595, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 583 :
The positive integer divisors of 583 that completely divides 583 are.
1, 11, 53, 583
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (742, 583, 595, 398) = 1.
Given numbers are 742, 583, 595, 398
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 583 are 11 x 53
Prime factors of 595 are 5 x 7 x 17
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 583, 595, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 583) = 8162
GCD(742, 583) = ( 742 x 583 ) / 8162
= 742 / 583
= 742
Step2:
LCM(53, 595) = 31535
GCD(53, 595) = ( 53 x 595 ) / 31535
= 53 / 595
= 53
Step3:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 742, 583, 595, 398 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 583, 595, 398
The greatest common divisor of numbers 742, 583, 595, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 583, 595, 398 is 1.
1. What is the GCD of 742, 583, 595, 398?
GCD of given numbers 742, 583, 595, 398 is 1
2. How to calculate the greatest common divisor of 742, 583, 595, 398?
We can find the highest common divisor of 742, 583, 595, 398 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 742, 583, 595, 398 i.e 1.
3. How can I use the GCD of 742, 583, 595, 398Calculator?
Out the numbers 742, 583, 595, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.