Online GCD Calculator is useful to find the GCD of 407, 405, 362, 270 quickly. Get the easiest ways to solve the greatest common divisor of 407, 405, 362, 270 i.e 1 in different methods as follows.
Given Input numbers are 407, 405, 362, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
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
GCD of numbers is the greatest common divisor
So, the GCD (407, 405, 362, 270) = 1.
Given numbers are 407, 405, 362, 270
The list of prime factors of all numbers are
Prime factors of 407 are 11 x 37
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 362 are 2 x 181
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 407, 405, 362, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(407, 405) = 164835
GCD(407, 405) = ( 407 x 405 ) / 164835
= 407 / 405
= 407
Step2:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 407, 405, 362, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 407, 405, 362, 270
The greatest common divisor of numbers 407, 405, 362, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 405, 362, 270 is 1.
1. What is the GCD of 407, 405, 362, 270?
GCD of given numbers 407, 405, 362, 270 is 1
2. How to calculate the greatest common divisor of 407, 405, 362, 270?
We can find the highest common divisor of 407, 405, 362, 270 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 407, 405, 362, 270 i.e 1.
3. How can I use the GCD of 407, 405, 362, 270Calculator?
Out the numbers 407, 405, 362, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.