Online GCD Calculator is useful to find the GCD of 230, 135, 742, 175 quickly. Get the easiest ways to solve the greatest common divisor of 230, 135, 742, 175 i.e 1 in different methods as follows.
Given Input numbers are 230, 135, 742, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (230, 135, 742, 175) = 1.
Given numbers are 230, 135, 742, 175
The list of prime factors of all numbers are
Prime factors of 230 are 2 x 5 x 23
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 742 are 2 x 7 x 53
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 230, 135, 742, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(230, 135) = 6210
GCD(230, 135) = ( 230 x 135 ) / 6210
= 230 / 135
= 230
Step2:
LCM(5, 742) = 3710
GCD(5, 742) = ( 5 x 742 ) / 3710
= 5 / 742
= 5
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 230, 135, 742, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 230, 135, 742, 175
The greatest common divisor of numbers 230, 135, 742, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 135, 742, 175 is 1.
1. What is the GCD of 230, 135, 742, 175?
GCD of given numbers 230, 135, 742, 175 is 1
2. How to calculate the greatest common divisor of 230, 135, 742, 175?
We can find the highest common divisor of 230, 135, 742, 175 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 230, 135, 742, 175 i.e 1.
3. How can I use the GCD of 230, 135, 742, 175Calculator?
Out the numbers 230, 135, 742, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.