Online GCD Calculator is useful to find the GCD of 271, 142, 629, 106 quickly. Get the easiest ways to solve the greatest common divisor of 271, 142, 629, 106 i.e 1 in different methods as follows.
Given Input numbers are 271, 142, 629, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (271, 142, 629, 106) = 1.
Given numbers are 271, 142, 629, 106
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 142 are 2 x 71
Prime factors of 629 are 17 x 37
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 142, 629, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 142) = 38482
GCD(271, 142) = ( 271 x 142 ) / 38482
= 271 / 142
= 271
Step2:
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
= 1 / 629
= 1
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 271, 142, 629, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 142, 629, 106
The greatest common divisor of numbers 271, 142, 629, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 142, 629, 106 is 1.
1. What is the GCD of 271, 142, 629, 106?
GCD of given numbers 271, 142, 629, 106 is 1
2. How to calculate the greatest common divisor of 271, 142, 629, 106?
We can find the highest common divisor of 271, 142, 629, 106 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 271, 142, 629, 106 i.e 1.
3. How can I use the GCD of 271, 142, 629, 106Calculator?
Out the numbers 271, 142, 629, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.