Online GCD Calculator is useful to find the GCD of 734, 730, 189, 741 quickly. Get the easiest ways to solve the greatest common divisor of 734, 730, 189, 741 i.e 1 in different methods as follows.
Given Input numbers are 734, 730, 189, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (734, 730, 189, 741) = 1.
Given numbers are 734, 730, 189, 741
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 730 are 2 x 5 x 73
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 741 are 3 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 734, 730, 189, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 730) = 267910
GCD(734, 730) = ( 734 x 730 ) / 267910
= 734 / 730
= 734
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
Step3:
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
= 1 / 741
= 1
So, Greatest Common Divisor of 734, 730, 189, 741 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 730, 189, 741
The greatest common divisor of numbers 734, 730, 189, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 730, 189, 741 is 1.
1. What is the GCD of 734, 730, 189, 741?
GCD of given numbers 734, 730, 189, 741 is 1
2. How to calculate the greatest common divisor of 734, 730, 189, 741?
We can find the highest common divisor of 734, 730, 189, 741 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 734, 730, 189, 741 i.e 1.
3. How can I use the GCD of 734, 730, 189, 741Calculator?
Out the numbers 734, 730, 189, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.