Online GCD Calculator is useful to find the GCD of 398, 672, 305, 568 quickly. Get the easiest ways to solve the greatest common divisor of 398, 672, 305, 568 i.e 1 in different methods as follows.
Given Input numbers are 398, 672, 305, 568
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
GCD of numbers is the greatest common divisor
So, the GCD (398, 672, 305, 568) = 1.
Given numbers are 398, 672, 305, 568
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 305 are 5 x 61
Prime factors of 568 are 2 x 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 672, 305, 568
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 672) = 133728
GCD(398, 672) = ( 398 x 672 ) / 133728
= 398 / 672
= 398
Step2:
LCM(2, 305) = 610
GCD(2, 305) = ( 2 x 305 ) / 610
= 2 / 305
= 2
Step3:
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
= 1 / 568
= 1
So, Greatest Common Divisor of 398, 672, 305, 568 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 672, 305, 568
The greatest common divisor of numbers 398, 672, 305, 568 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 672, 305, 568 is 1.
1. What is the GCD of 398, 672, 305, 568?
GCD of given numbers 398, 672, 305, 568 is 1
2. How to calculate the greatest common divisor of 398, 672, 305, 568?
We can find the highest common divisor of 398, 672, 305, 568 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 398, 672, 305, 568 i.e 1.
3. How can I use the GCD of 398, 672, 305, 568Calculator?
Out the numbers 398, 672, 305, 568 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.