Online GCD Calculator is useful to find the GCD of 270, 998, 575, 267 quickly. Get the easiest ways to solve the greatest common divisor of 270, 998, 575, 267 i.e 1 in different methods as follows.
Given Input numbers are 270, 998, 575, 267
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 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (270, 998, 575, 267) = 1.
Given numbers are 270, 998, 575, 267
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 998 are 2 x 499
Prime factors of 575 are 5 x 5 x 23
Prime factors of 267 are 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 998, 575, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 998) = 134730
GCD(270, 998) = ( 270 x 998 ) / 134730
= 270 / 998
= 270
Step2:
LCM(2, 575) = 1150
GCD(2, 575) = ( 2 x 575 ) / 1150
= 2 / 575
= 2
Step3:
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
= 1 / 267
= 1
So, Greatest Common Divisor of 270, 998, 575, 267 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 998, 575, 267
The greatest common divisor of numbers 270, 998, 575, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 998, 575, 267 is 1.
1. What is the GCD of 270, 998, 575, 267?
GCD of given numbers 270, 998, 575, 267 is 1
2. How to calculate the greatest common divisor of 270, 998, 575, 267?
We can find the highest common divisor of 270, 998, 575, 267 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, 998, 575, 267 i.e 1.
3. How can I use the GCD of 270, 998, 575, 267Calculator?
Out the numbers 270, 998, 575, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.