Online GCD Calculator is useful to find the GCD of 230, 748, 355, 182 quickly. Get the easiest ways to solve the greatest common divisor of 230, 748, 355, 182 i.e 1 in different methods as follows.
Given Input numbers are 230, 748, 355, 182
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (230, 748, 355, 182) = 1.
Given numbers are 230, 748, 355, 182
The list of prime factors of all numbers are
Prime factors of 230 are 2 x 5 x 23
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 355 are 5 x 71
Prime factors of 182 are 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 230, 748, 355, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(230, 748) = 86020
GCD(230, 748) = ( 230 x 748 ) / 86020
= 230 / 748
= 230
Step2:
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
= 2 / 355
= 2
Step3:
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
= 1 / 182
= 1
So, Greatest Common Divisor of 230, 748, 355, 182 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 230, 748, 355, 182
The greatest common divisor of numbers 230, 748, 355, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 748, 355, 182 is 1.
1. What is the GCD of 230, 748, 355, 182?
GCD of given numbers 230, 748, 355, 182 is 1
2. How to calculate the greatest common divisor of 230, 748, 355, 182?
We can find the highest common divisor of 230, 748, 355, 182 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, 748, 355, 182 i.e 1.
3. How can I use the GCD of 230, 748, 355, 182Calculator?
Out the numbers 230, 748, 355, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.