Online GCD Calculator is useful to find the GCD of 108, 746, 913, 931 quickly. Get the easiest ways to solve the greatest common divisor of 108, 746, 913, 931 i.e 1 in different methods as follows.
Given Input numbers are 108, 746, 913, 931
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
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 (108, 746, 913, 931) = 1.
Given numbers are 108, 746, 913, 931
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 746 are 2 x 373
Prime factors of 913 are 11 x 83
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 108, 746, 913, 931
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 746) = 40284
GCD(108, 746) = ( 108 x 746 ) / 40284
= 108 / 746
= 108
Step2:
LCM(2, 913) = 1826
GCD(2, 913) = ( 2 x 913 ) / 1826
= 2 / 913
= 2
Step3:
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
= 1 / 931
= 1
So, Greatest Common Divisor of 108, 746, 913, 931 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 746, 913, 931
The greatest common divisor of numbers 108, 746, 913, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 746, 913, 931 is 1.
1. What is the GCD of 108, 746, 913, 931?
GCD of given numbers 108, 746, 913, 931 is 1
2. How to calculate the greatest common divisor of 108, 746, 913, 931?
We can find the highest common divisor of 108, 746, 913, 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 108, 746, 913, 931 i.e 1.
3. How can I use the GCD of 108, 746, 913, 931Calculator?
Out the numbers 108, 746, 913, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.