Online GCD Calculator is useful to find the GCD of 942, 198, 165, 917 quickly. Get the easiest ways to solve the greatest common divisor of 942, 198, 165, 917 i.e 1 in different methods as follows.
Given Input numbers are 942, 198, 165, 917
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
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 (942, 198, 165, 917) = 1.
Given numbers are 942, 198, 165, 917
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 165 are 3 x 5 x 11
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 942, 198, 165, 917
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 198) = 31086
GCD(942, 198) = ( 942 x 198 ) / 31086
= 942 / 198
= 942
Step2:
LCM(6, 165) = 330
GCD(6, 165) = ( 6 x 165 ) / 330
= 6 / 165
= 6
Step3:
LCM(3, 917) = 2751
GCD(3, 917) = ( 3 x 917 ) / 2751
= 3 / 917
= 3
So, Greatest Common Divisor of 942, 198, 165, 917 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 198, 165, 917
The greatest common divisor of numbers 942, 198, 165, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 198, 165, 917 is 1.
1. What is the GCD of 942, 198, 165, 917?
GCD of given numbers 942, 198, 165, 917 is 1
2. How to calculate the greatest common divisor of 942, 198, 165, 917?
We can find the highest common divisor of 942, 198, 165, 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 942, 198, 165, 917 i.e 1.
3. How can I use the GCD of 942, 198, 165, 917Calculator?
Out the numbers 942, 198, 165, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.