GCD of 398, 378, 589, 969 Calculator

Given Input numbers are 398, 378, 589, 969

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (398, 378, 589, 969) = 1.

Given numbers are 398, 378, 589, 969

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 589 are 19 x 31

Prime factors of 969 are 3 x 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 398, 378, 589, 969

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(398, 378) = 75222

GCD(398, 378) = ( 398 x 378 ) / 75222

= 398 / 378

= 398

Step2:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2

Step3:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

So, Greatest Common Divisor of 398, 378, 589, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 162, 967, 927
• GCD of 950, 488, 384, 615
• GCD of 171, 199, 665, 167
• GCD of 373, 542, 547, 989
• GCD of 262, 887, 699, 366

Given numbers are 398, 378, 589, 969
The greatest common divisor of numbers 398, 378, 589, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 378, 589, 969 is 1.

1. What is the GCD of 398, 378, 589, 969?

GCD of given numbers 398, 378, 589, 969 is 1

2. How to calculate the greatest common divisor of 398, 378, 589, 969?

We can find the highest common divisor of 398, 378, 589, 969 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, 378, 589, 969 i.e 1.

3. How can I use the GCD of 398, 378, 589, 969Calculator?

Out the numbers 398, 378, 589, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.