Online GCD Calculator is useful to find the GCD of 398, 709, 440, 567 quickly. Get the easiest ways to solve the greatest common divisor of 398, 709, 440, 567 i.e 1 in different methods as follows.
Given Input numbers are 398, 709, 440, 567
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 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (398, 709, 440, 567) = 1.
Given numbers are 398, 709, 440, 567
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 709 are 709
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 709, 440, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 709) = 282182
GCD(398, 709) = ( 398 x 709 ) / 282182
= 398 / 709
= 398
Step2:
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
= 1 / 440
= 1
Step3:
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
= 1 / 567
= 1
So, Greatest Common Divisor of 398, 709, 440, 567 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 709, 440, 567
The greatest common divisor of numbers 398, 709, 440, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 709, 440, 567 is 1.
1. What is the GCD of 398, 709, 440, 567?
GCD of given numbers 398, 709, 440, 567 is 1
2. How to calculate the greatest common divisor of 398, 709, 440, 567?
We can find the highest common divisor of 398, 709, 440, 567 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, 709, 440, 567 i.e 1.
3. How can I use the GCD of 398, 709, 440, 567Calculator?
Out the numbers 398, 709, 440, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.