Online GCD Calculator is useful to find the GCD of 363, 744, 400, 920 quickly. Get the easiest ways to solve the greatest common divisor of 363, 744, 400, 920 i.e 1 in different methods as follows.
Given Input numbers are 363, 744, 400, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (363, 744, 400, 920) = 1.
Given numbers are 363, 744, 400, 920
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 363, 744, 400, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 744) = 90024
GCD(363, 744) = ( 363 x 744 ) / 90024
= 363 / 744
= 363
Step2:
LCM(3, 400) = 1200
GCD(3, 400) = ( 3 x 400 ) / 1200
= 3 / 400
= 3
Step3:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
So, Greatest Common Divisor of 363, 744, 400, 920 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 363, 744, 400, 920
The greatest common divisor of numbers 363, 744, 400, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 744, 400, 920 is 1.
1. What is the GCD of 363, 744, 400, 920?
GCD of given numbers 363, 744, 400, 920 is 1
2. How to calculate the greatest common divisor of 363, 744, 400, 920?
We can find the highest common divisor of 363, 744, 400, 920 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 363, 744, 400, 920 i.e 1.
3. How can I use the GCD of 363, 744, 400, 920Calculator?
Out the numbers 363, 744, 400, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.