Online GCD Calculator is useful to find the GCD of 270, 125, 332, 269 quickly. Get the easiest ways to solve the greatest common divisor of 270, 125, 332, 269 i.e 1 in different methods as follows.
Given Input numbers are 270, 125, 332, 269
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 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
GCD of numbers is the greatest common divisor
So, the GCD (270, 125, 332, 269) = 1.
Given numbers are 270, 125, 332, 269
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 125 are 5 x 5 x 5
Prime factors of 332 are 2 x 2 x 83
Prime factors of 269 are 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 125, 332, 269
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 125) = 6750
GCD(270, 125) = ( 270 x 125 ) / 6750
= 270 / 125
= 270
Step2:
LCM(5, 332) = 1660
GCD(5, 332) = ( 5 x 332 ) / 1660
= 5 / 332
= 5
Step3:
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
= 1 / 269
= 1
So, Greatest Common Divisor of 270, 125, 332, 269 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 125, 332, 269
The greatest common divisor of numbers 270, 125, 332, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 125, 332, 269 is 1.
1. What is the GCD of 270, 125, 332, 269?
GCD of given numbers 270, 125, 332, 269 is 1
2. How to calculate the greatest common divisor of 270, 125, 332, 269?
We can find the highest common divisor of 270, 125, 332, 269 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, 125, 332, 269 i.e 1.
3. How can I use the GCD of 270, 125, 332, 269Calculator?
Out the numbers 270, 125, 332, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.