Online GCD Calculator is useful to find the GCD of 270, 271, 969, 213 quickly. Get the easiest ways to solve the greatest common divisor of 270, 271, 969, 213 i.e 1 in different methods as follows.
Given Input numbers are 270, 271, 969, 213
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 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (270, 271, 969, 213) = 1.
Given numbers are 270, 271, 969, 213
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 271 are 271
Prime factors of 969 are 3 x 17 x 19
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 271, 969, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 271) = 73170
GCD(270, 271) = ( 270 x 271 ) / 73170
= 270 / 271
= 270
Step2:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 270, 271, 969, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 271, 969, 213
The greatest common divisor of numbers 270, 271, 969, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 271, 969, 213 is 1.
1. What is the GCD of 270, 271, 969, 213?
GCD of given numbers 270, 271, 969, 213 is 1
2. How to calculate the greatest common divisor of 270, 271, 969, 213?
We can find the highest common divisor of 270, 271, 969, 213 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, 271, 969, 213 i.e 1.
3. How can I use the GCD of 270, 271, 969, 213Calculator?
Out the numbers 270, 271, 969, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.