GCD of 348, 398, 180, 689 Calculator

Given Input numbers are 348, 398, 180, 689

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (348, 398, 180, 689) = 1.

Given numbers are 348, 398, 180, 689

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 398 are 2 x 199

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 689 are 13 x 53

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

Given numbers are 348, 398, 180, 689

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

Apply this formula for all numbers.

Step1:

LCM(348, 398) = 69252

GCD(348, 398) = ( 348 x 398 ) / 69252

= 348 / 398

= 348

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 348, 398, 180, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 227, 576, 951
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Given numbers are 348, 398, 180, 689
The greatest common divisor of numbers 348, 398, 180, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 398, 180, 689 is 1.

1. What is the GCD of 348, 398, 180, 689?

GCD of given numbers 348, 398, 180, 689 is 1

2. How to calculate the greatest common divisor of 348, 398, 180, 689?

We can find the highest common divisor of 348, 398, 180, 689 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 348, 398, 180, 689 i.e 1.

3. How can I use the GCD of 348, 398, 180, 689Calculator?

Out the numbers 348, 398, 180, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.