Online GCD Calculator is useful to find the GCD of 413, 731, 400, 820 quickly. Get the easiest ways to solve the greatest common divisor of 413, 731, 400, 820 i.e 1 in different methods as follows.
Given Input numbers are 413, 731, 400, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (413, 731, 400, 820) = 1.
Given numbers are 413, 731, 400, 820
The list of prime factors of all numbers are
Prime factors of 413 are 7 x 59
Prime factors of 731 are 17 x 43
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 413, 731, 400, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(413, 731) = 301903
GCD(413, 731) = ( 413 x 731 ) / 301903
= 413 / 731
= 413
Step2:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 413, 731, 400, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 413, 731, 400, 820
The greatest common divisor of numbers 413, 731, 400, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 731, 400, 820 is 1.
1. What is the GCD of 413, 731, 400, 820?
GCD of given numbers 413, 731, 400, 820 is 1
2. How to calculate the greatest common divisor of 413, 731, 400, 820?
We can find the highest common divisor of 413, 731, 400, 820 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 413, 731, 400, 820 i.e 1.
3. How can I use the GCD of 413, 731, 400, 820Calculator?
Out the numbers 413, 731, 400, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.