GCD of 585, 375, 975, 398 Calculator

Given Input numbers are 585, 375, 975, 398

In the factoring method, we have to find the divisors of all numbers

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (585, 375, 975, 398) = 1.

Given numbers are 585, 375, 975, 398

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 398 are 2 x 199

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

Given numbers are 585, 375, 975, 398

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

Apply this formula for all numbers.

Step1:

LCM(585, 375) = 14625

GCD(585, 375) = ( 585 x 375 ) / 14625

= 585 / 375

= 585

Step2:

LCM(15, 975) = 975

GCD(15, 975) = ( 15 x 975 ) / 975

= 15 / 975

= 15

Step3:

LCM(15, 398) = 5970

GCD(15, 398) = ( 15 x 398 ) / 5970

= 15 / 398

= 15

So, Greatest Common Divisor of 585, 375, 975, 398 is 1

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• GCD of 516, 556, 811, 144
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Given numbers are 585, 375, 975, 398
The greatest common divisor of numbers 585, 375, 975, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 375, 975, 398 is 1.

1. What is the GCD of 585, 375, 975, 398?

GCD of given numbers 585, 375, 975, 398 is 1

2. How to calculate the greatest common divisor of 585, 375, 975, 398?

We can find the highest common divisor of 585, 375, 975, 398 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 585, 375, 975, 398 i.e 1.

3. How can I use the GCD of 585, 375, 975, 398Calculator?

Out the numbers 585, 375, 975, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.