Online GCD Calculator is useful to find the GCD of 412, 100, 403, 382 quickly. Get the easiest ways to solve the greatest common divisor of 412, 100, 403, 382 i.e 1 in different methods as follows.
Given Input numbers are 412, 100, 403, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (412, 100, 403, 382) = 1.
Given numbers are 412, 100, 403, 382
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 403 are 13 x 31
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 412, 100, 403, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 100) = 10300
GCD(412, 100) = ( 412 x 100 ) / 10300
= 412 / 100
= 412
Step2:
LCM(4, 403) = 1612
GCD(4, 403) = ( 4 x 403 ) / 1612
= 4 / 403
= 4
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 412, 100, 403, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 100, 403, 382
The greatest common divisor of numbers 412, 100, 403, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 100, 403, 382 is 1.
1. What is the GCD of 412, 100, 403, 382?
GCD of given numbers 412, 100, 403, 382 is 1
2. How to calculate the greatest common divisor of 412, 100, 403, 382?
We can find the highest common divisor of 412, 100, 403, 382 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 412, 100, 403, 382 i.e 1.
3. How can I use the GCD of 412, 100, 403, 382Calculator?
Out the numbers 412, 100, 403, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.