Online GCD Calculator is useful to find the GCD of 412, 398, 348, 561 quickly. Get the easiest ways to solve the greatest common divisor of 412, 398, 348, 561 i.e 1 in different methods as follows.
Given Input numbers are 412, 398, 348, 561
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 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (412, 398, 348, 561) = 1.
Given numbers are 412, 398, 348, 561
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 398 are 2 x 199
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 561 are 3 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 412, 398, 348, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 398) = 81988
GCD(412, 398) = ( 412 x 398 ) / 81988
= 412 / 398
= 412
Step2:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
Step3:
LCM(2, 561) = 1122
GCD(2, 561) = ( 2 x 561 ) / 1122
= 2 / 561
= 2
So, Greatest Common Divisor of 412, 398, 348, 561 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 398, 348, 561
The greatest common divisor of numbers 412, 398, 348, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 398, 348, 561 is 1.
1. What is the GCD of 412, 398, 348, 561?
GCD of given numbers 412, 398, 348, 561 is 1
2. How to calculate the greatest common divisor of 412, 398, 348, 561?
We can find the highest common divisor of 412, 398, 348, 561 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, 398, 348, 561 i.e 1.
3. How can I use the GCD of 412, 398, 348, 561Calculator?
Out the numbers 412, 398, 348, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.