Online GCD Calculator is useful to find the GCD of 270, 226, 748, 741 quickly. Get the easiest ways to solve the greatest common divisor of 270, 226, 748, 741 i.e 1 in different methods as follows.
Given Input numbers are 270, 226, 748, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
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 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 (270, 226, 748, 741) = 1.
Given numbers are 270, 226, 748, 741
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 226 are 2 x 113
Prime factors of 748 are 2 x 2 x 11 x 17
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 270, 226, 748, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 226) = 30510
GCD(270, 226) = ( 270 x 226 ) / 30510
= 270 / 226
= 270
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 741) = 1482
GCD(2, 741) = ( 2 x 741 ) / 1482
= 2 / 741
= 2
So, Greatest Common Divisor of 270, 226, 748, 741 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 226, 748, 741
The greatest common divisor of numbers 270, 226, 748, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 226, 748, 741 is 1.
1. What is the GCD of 270, 226, 748, 741?
GCD of given numbers 270, 226, 748, 741 is 1
2. How to calculate the greatest common divisor of 270, 226, 748, 741?
We can find the highest common divisor of 270, 226, 748, 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 270, 226, 748, 741 i.e 1.
3. How can I use the GCD of 270, 226, 748, 741Calculator?
Out the numbers 270, 226, 748, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.