Online GCD Calculator is useful to find the GCD of 133, 189, 357 quickly. Get the easiest ways to solve the greatest common divisor of 133, 189, 357 i.e 7 in different methods as follows.
Given Input numbers are 133, 189, 357
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (133, 189, 357) = 7.
Given numbers are 133, 189, 357
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 71
Therefore, GCD of 133, 189, 357 is 7.
Given numbers are 133, 189, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 189) = 3591
GCD(133, 189) = ( 133 x 189 ) / 3591
= 133 / 189
= 133
Step2:
LCM(7, 357) = 357
GCD(7, 357) = ( 7 x 357 ) / 357
= 7 / 357
= 7
So, Greatest Common Divisor of 133, 189, 357 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 189, 357
The greatest common divisor of numbers 133, 189, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 189, 357 is 7.
1. What is the GCD of 133, 189, 357?
GCD of given numbers 133, 189, 357 is 7
2. How to calculate the greatest common divisor of 133, 189, 357?
We can find the highest common divisor of 133, 189, 357 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, 189, 357 i.e 7.
3. How can I use the GCD of 133, 189, 357Calculator?
Out the numbers 133, 189, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.