Online GCD Calculator is useful to find the GCD of 758, 938, 917, 171 quickly. Get the easiest ways to solve the greatest common divisor of 758, 938, 917, 171 i.e 1 in different methods as follows.
Given Input numbers are 758, 938, 917, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (758, 938, 917, 171) = 1.
Given numbers are 758, 938, 917, 171
The list of prime factors of all numbers are
Prime factors of 758 are 2 x 379
Prime factors of 938 are 2 x 7 x 67
Prime factors of 917 are 7 x 131
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 758, 938, 917, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(758, 938) = 355502
GCD(758, 938) = ( 758 x 938 ) / 355502
= 758 / 938
= 758
Step2:
LCM(2, 917) = 1834
GCD(2, 917) = ( 2 x 917 ) / 1834
= 2 / 917
= 2
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 758, 938, 917, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 758, 938, 917, 171
The greatest common divisor of numbers 758, 938, 917, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 938, 917, 171 is 1.
1. What is the GCD of 758, 938, 917, 171?
GCD of given numbers 758, 938, 917, 171 is 1
2. How to calculate the greatest common divisor of 758, 938, 917, 171?
We can find the highest common divisor of 758, 938, 917, 171 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 758, 938, 917, 171 i.e 1.
3. How can I use the GCD of 758, 938, 917, 171Calculator?
Out the numbers 758, 938, 917, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.