Online GCD Calculator is useful to find the GCD of 133, 342, 657, 975 quickly. Get the easiest ways to solve the greatest common divisor of 133, 342, 657, 975 i.e 1 in different methods as follows.
Given Input numbers are 133, 342, 657, 975
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (133, 342, 657, 975) = 1.
Given numbers are 133, 342, 657, 975
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 657 are 3 x 3 x 73
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 342, 657, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 342) = 2394
GCD(133, 342) = ( 133 x 342 ) / 2394
= 133 / 342
= 133
Step2:
LCM(19, 657) = 12483
GCD(19, 657) = ( 19 x 657 ) / 12483
= 19 / 657
= 19
Step3:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
So, Greatest Common Divisor of 133, 342, 657, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 342, 657, 975
The greatest common divisor of numbers 133, 342, 657, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 342, 657, 975 is 1.
1. What is the GCD of 133, 342, 657, 975?
GCD of given numbers 133, 342, 657, 975 is 1
2. How to calculate the greatest common divisor of 133, 342, 657, 975?
We can find the highest common divisor of 133, 342, 657, 975 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, 342, 657, 975 i.e 1.
3. How can I use the GCD of 133, 342, 657, 975Calculator?
Out the numbers 133, 342, 657, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.