Online GCD Calculator is useful to find the GCD of 270, 110, 118, 413 quickly. Get the easiest ways to solve the greatest common divisor of 270, 110, 118, 413 i.e 1 in different methods as follows.
Given Input numbers are 270, 110, 118, 413
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 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (270, 110, 118, 413) = 1.
Given numbers are 270, 110, 118, 413
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 110 are 2 x 5 x 11
Prime factors of 118 are 2 x 59
Prime factors of 413 are 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 110, 118, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 110) = 2970
GCD(270, 110) = ( 270 x 110 ) / 2970
= 270 / 110
= 270
Step2:
LCM(10, 118) = 590
GCD(10, 118) = ( 10 x 118 ) / 590
= 10 / 118
= 10
Step3:
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
= 2 / 413
= 2
So, Greatest Common Divisor of 270, 110, 118, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 110, 118, 413
The greatest common divisor of numbers 270, 110, 118, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 110, 118, 413 is 1.
1. What is the GCD of 270, 110, 118, 413?
GCD of given numbers 270, 110, 118, 413 is 1
2. How to calculate the greatest common divisor of 270, 110, 118, 413?
We can find the highest common divisor of 270, 110, 118, 413 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, 110, 118, 413 i.e 1.
3. How can I use the GCD of 270, 110, 118, 413Calculator?
Out the numbers 270, 110, 118, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.