Online GCD Calculator is useful to find the GCD of 403, 910, 364 quickly. Get the easiest ways to solve the greatest common divisor of 403, 910, 364 i.e 13 in different methods as follows.
Given Input numbers are 403, 910, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (403, 910, 364) = 13.
Given numbers are 403, 910, 364
The list of prime factors of all numbers are
Prime factors of 403 are 13 x 31
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 131
Therefore, GCD of 403, 910, 364 is 13.
Given numbers are 403, 910, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(403, 910) = 28210
GCD(403, 910) = ( 403 x 910 ) / 28210
= 403 / 910
= 403
Step2:
LCM(13, 364) = 364
GCD(13, 364) = ( 13 x 364 ) / 364
= 13 / 364
= 13
So, Greatest Common Divisor of 403, 910, 364 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 403, 910, 364
The greatest common divisor of numbers 403, 910, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 403, 910, 364 is 13.
1. What is the GCD of 403, 910, 364?
GCD of given numbers 403, 910, 364 is 13
2. How to calculate the greatest common divisor of 403, 910, 364?
We can find the highest common divisor of 403, 910, 364 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 403, 910, 364 i.e 13.
3. How can I use the GCD of 403, 910, 364Calculator?
Out the numbers 403, 910, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.