Online GCD Calculator is useful to find the GCD of 114, 351, 126, 931 quickly. Get the easiest ways to solve the greatest common divisor of 114, 351, 126, 931 i.e 1 in different methods as follows.
Given Input numbers are 114, 351, 126, 931
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
GCD of numbers is the greatest common divisor
So, the GCD (114, 351, 126, 931) = 1.
Given numbers are 114, 351, 126, 931
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 931 are 7 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 351, 126, 931
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 351) = 13338
GCD(114, 351) = ( 114 x 351 ) / 13338
= 114 / 351
= 114
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
Step3:
LCM(3, 931) = 2793
GCD(3, 931) = ( 3 x 931 ) / 2793
= 3 / 931
= 3
So, Greatest Common Divisor of 114, 351, 126, 931 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 351, 126, 931
The greatest common divisor of numbers 114, 351, 126, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 351, 126, 931 is 1.
1. What is the GCD of 114, 351, 126, 931?
GCD of given numbers 114, 351, 126, 931 is 1
2. How to calculate the greatest common divisor of 114, 351, 126, 931?
We can find the highest common divisor of 114, 351, 126, 931 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 114, 351, 126, 931 i.e 1.
3. How can I use the GCD of 114, 351, 126, 931Calculator?
Out the numbers 114, 351, 126, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.