Online GCD Calculator is useful to find the GCD of 363, 293, 148, 400 quickly. Get the easiest ways to solve the greatest common divisor of 363, 293, 148, 400 i.e 1 in different methods as follows.
Given Input numbers are 363, 293, 148, 400
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 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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
GCD of numbers is the greatest common divisor
So, the GCD (363, 293, 148, 400) = 1.
Given numbers are 363, 293, 148, 400
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 293 are 293
Prime factors of 148 are 2 x 2 x 37
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 363, 293, 148, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 293) = 106359
GCD(363, 293) = ( 363 x 293 ) / 106359
= 363 / 293
= 363
Step2:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 363, 293, 148, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 363, 293, 148, 400
The greatest common divisor of numbers 363, 293, 148, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 293, 148, 400 is 1.
1. What is the GCD of 363, 293, 148, 400?
GCD of given numbers 363, 293, 148, 400 is 1
2. How to calculate the greatest common divisor of 363, 293, 148, 400?
We can find the highest common divisor of 363, 293, 148, 400 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, 293, 148, 400 i.e 1.
3. How can I use the GCD of 363, 293, 148, 400Calculator?
Out the numbers 363, 293, 148, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.