Online GCD Calculator is useful to find the GCD of 270, 106, 697, 143 quickly. Get the easiest ways to solve the greatest common divisor of 270, 106, 697, 143 i.e 1 in different methods as follows.
Given Input numbers are 270, 106, 697, 143
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 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (270, 106, 697, 143) = 1.
Given numbers are 270, 106, 697, 143
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 106 are 2 x 53
Prime factors of 697 are 17 x 41
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 106, 697, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 106) = 14310
GCD(270, 106) = ( 270 x 106 ) / 14310
= 270 / 106
= 270
Step2:
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
= 2 / 697
= 2
Step3:
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
= 1 / 143
= 1
So, Greatest Common Divisor of 270, 106, 697, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 106, 697, 143
The greatest common divisor of numbers 270, 106, 697, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 106, 697, 143 is 1.
1. What is the GCD of 270, 106, 697, 143?
GCD of given numbers 270, 106, 697, 143 is 1
2. How to calculate the greatest common divisor of 270, 106, 697, 143?
We can find the highest common divisor of 270, 106, 697, 143 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, 106, 697, 143 i.e 1.
3. How can I use the GCD of 270, 106, 697, 143Calculator?
Out the numbers 270, 106, 697, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.