Online GCD Calculator is useful to find the GCD of 311, 760, 916, 107 quickly. Get the easiest ways to solve the greatest common divisor of 311, 760, 916, 107 i.e 1 in different methods as follows.
Given Input numbers are 311, 760, 916, 107
In the factoring method, we have to find the divisors of all numbers
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (311, 760, 916, 107) = 1.
Given numbers are 311, 760, 916, 107
The list of prime factors of all numbers are
Prime factors of 311 are 311
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 916 are 2 x 2 x 229
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 311, 760, 916, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(311, 760) = 236360
GCD(311, 760) = ( 311 x 760 ) / 236360
= 311 / 760
= 311
Step2:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
Step3:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
So, Greatest Common Divisor of 311, 760, 916, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 311, 760, 916, 107
The greatest common divisor of numbers 311, 760, 916, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 760, 916, 107 is 1.
1. What is the GCD of 311, 760, 916, 107?
GCD of given numbers 311, 760, 916, 107 is 1
2. How to calculate the greatest common divisor of 311, 760, 916, 107?
We can find the highest common divisor of 311, 760, 916, 107 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 311, 760, 916, 107 i.e 1.
3. How can I use the GCD of 311, 760, 916, 107Calculator?
Out the numbers 311, 760, 916, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.