Online GCD Calculator is useful to find the GCD of 133, 748, 517, 917 quickly. Get the easiest ways to solve the greatest common divisor of 133, 748, 517, 917 i.e 1 in different methods as follows.
Given Input numbers are 133, 748, 517, 917
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
GCD of numbers is the greatest common divisor
So, the GCD (133, 748, 517, 917) = 1.
Given numbers are 133, 748, 517, 917
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 517 are 11 x 47
Prime factors of 917 are 7 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 748, 517, 917
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 748) = 99484
GCD(133, 748) = ( 133 x 748 ) / 99484
= 133 / 748
= 133
Step2:
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
= 1 / 517
= 1
Step3:
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
= 1 / 917
= 1
So, Greatest Common Divisor of 133, 748, 517, 917 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 748, 517, 917
The greatest common divisor of numbers 133, 748, 517, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 748, 517, 917 is 1.
1. What is the GCD of 133, 748, 517, 917?
GCD of given numbers 133, 748, 517, 917 is 1
2. How to calculate the greatest common divisor of 133, 748, 517, 917?
We can find the highest common divisor of 133, 748, 517, 917 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, 748, 517, 917 i.e 1.
3. How can I use the GCD of 133, 748, 517, 917Calculator?
Out the numbers 133, 748, 517, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.