Online GCD Calculator is useful to find the GCD of 133, 119, 314, 269 quickly. Get the easiest ways to solve the greatest common divisor of 133, 119, 314, 269 i.e 1 in different methods as follows.
Given Input numbers are 133, 119, 314, 269
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 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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 (133, 119, 314, 269) = 1.
Given numbers are 133, 119, 314, 269
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 119 are 7 x 17
Prime factors of 314 are 2 x 157
Prime factors of 269 are 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 119, 314, 269
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 119) = 2261
GCD(133, 119) = ( 133 x 119 ) / 2261
= 133 / 119
= 133
Step2:
LCM(7, 314) = 2198
GCD(7, 314) = ( 7 x 314 ) / 2198
= 7 / 314
= 7
Step3:
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
= 1 / 269
= 1
So, Greatest Common Divisor of 133, 119, 314, 269 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 119, 314, 269
The greatest common divisor of numbers 133, 119, 314, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 119, 314, 269 is 1.
1. What is the GCD of 133, 119, 314, 269?
GCD of given numbers 133, 119, 314, 269 is 1
2. How to calculate the greatest common divisor of 133, 119, 314, 269?
We can find the highest common divisor of 133, 119, 314, 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 133, 119, 314, 269 i.e 1.
3. How can I use the GCD of 133, 119, 314, 269Calculator?
Out the numbers 133, 119, 314, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.