Online GCD Calculator is useful to find the GCD of 117, 102, 488, 942 quickly. Get the easiest ways to solve the greatest common divisor of 117, 102, 488, 942 i.e 1 in different methods as follows.
Given Input numbers are 117, 102, 488, 942
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (117, 102, 488, 942) = 1.
Given numbers are 117, 102, 488, 942
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 102 are 2 x 3 x 17
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 942 are 2 x 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 102, 488, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 102) = 3978
GCD(117, 102) = ( 117 x 102 ) / 3978
= 117 / 102
= 117
Step2:
LCM(3, 488) = 1464
GCD(3, 488) = ( 3 x 488 ) / 1464
= 3 / 488
= 3
Step3:
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
= 1 / 942
= 1
So, Greatest Common Divisor of 117, 102, 488, 942 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 102, 488, 942
The greatest common divisor of numbers 117, 102, 488, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 102, 488, 942 is 1.
1. What is the GCD of 117, 102, 488, 942?
GCD of given numbers 117, 102, 488, 942 is 1
2. How to calculate the greatest common divisor of 117, 102, 488, 942?
We can find the highest common divisor of 117, 102, 488, 942 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 117, 102, 488, 942 i.e 1.
3. How can I use the GCD of 117, 102, 488, 942Calculator?
Out the numbers 117, 102, 488, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.