Online GCD Calculator is useful to find the GCD of 133, 455, 106, 971 quickly. Get the easiest ways to solve the greatest common divisor of 133, 455, 106, 971 i.e 1 in different methods as follows.
Given Input numbers are 133, 455, 106, 971
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
GCD of numbers is the greatest common divisor
So, the GCD (133, 455, 106, 971) = 1.
Given numbers are 133, 455, 106, 971
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 455 are 5 x 7 x 13
Prime factors of 106 are 2 x 53
Prime factors of 971 are 971
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 455, 106, 971
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 455) = 8645
GCD(133, 455) = ( 133 x 455 ) / 8645
= 133 / 455
= 133
Step2:
LCM(7, 106) = 742
GCD(7, 106) = ( 7 x 106 ) / 742
= 7 / 106
= 7
Step3:
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
= 1 / 971
= 1
So, Greatest Common Divisor of 133, 455, 106, 971 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 455, 106, 971
The greatest common divisor of numbers 133, 455, 106, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 455, 106, 971 is 1.
1. What is the GCD of 133, 455, 106, 971?
GCD of given numbers 133, 455, 106, 971 is 1
2. How to calculate the greatest common divisor of 133, 455, 106, 971?
We can find the highest common divisor of 133, 455, 106, 971 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 133, 455, 106, 971 i.e 1.
3. How can I use the GCD of 133, 455, 106, 971Calculator?
Out the numbers 133, 455, 106, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.