Online GCD Calculator is useful to find the GCD of 398, 375, 846, 289 quickly. Get the easiest ways to solve the greatest common divisor of 398, 375, 846, 289 i.e 1 in different methods as follows.
Given Input numbers are 398, 375, 846, 289
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (398, 375, 846, 289) = 1.
Given numbers are 398, 375, 846, 289
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 375, 846, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 375) = 149250
GCD(398, 375) = ( 398 x 375 ) / 149250
= 398 / 375
= 398
Step2:
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
= 1 / 846
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 398, 375, 846, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 375, 846, 289
The greatest common divisor of numbers 398, 375, 846, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 375, 846, 289 is 1.
1. What is the GCD of 398, 375, 846, 289?
GCD of given numbers 398, 375, 846, 289 is 1
2. How to calculate the greatest common divisor of 398, 375, 846, 289?
We can find the highest common divisor of 398, 375, 846, 289 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, 375, 846, 289 i.e 1.
3. How can I use the GCD of 398, 375, 846, 289Calculator?
Out the numbers 398, 375, 846, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.