GCD of 345, 398, 361, 675 Calculator

Given Input numbers are 345, 398, 361, 675

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (345, 398, 361, 675) = 1.

Given numbers are 345, 398, 361, 675

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 398 are 2 x 199

Prime factors of 361 are 19 x 19

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 345, 398, 361, 675

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

Apply this formula for all numbers.

Step1:

LCM(345, 398) = 137310

GCD(345, 398) = ( 345 x 398 ) / 137310

= 345 / 398

= 345

Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 345, 398, 361, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 437, 227, 422
• GCD of 408, 757, 783, 844
• GCD of 245, 880, 443, 395
• GCD of 302, 909, 484, 458
• GCD of 213, 353, 284, 342

Given numbers are 345, 398, 361, 675
The greatest common divisor of numbers 345, 398, 361, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 398, 361, 675 is 1.

1. What is the GCD of 345, 398, 361, 675?

GCD of given numbers 345, 398, 361, 675 is 1

2. How to calculate the greatest common divisor of 345, 398, 361, 675?

We can find the highest common divisor of 345, 398, 361, 675 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 345, 398, 361, 675 i.e 1.

3. How can I use the GCD of 345, 398, 361, 675Calculator?

Out the numbers 345, 398, 361, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.