GCD of 348, 366, 506, 189 Calculator

Given Input numbers are 348, 366, 506, 189

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (348, 366, 506, 189) = 1.

Given numbers are 348, 366, 506, 189

The list of prime factors of all numbers are

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

Prime factors of 366 are 2 x 3 x 61

Prime factors of 506 are 2 x 11 x 23

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 348, 366, 506, 189

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

Apply this formula for all numbers.

Step1:

LCM(348, 366) = 21228

GCD(348, 366) = ( 348 x 366 ) / 21228

= 348 / 366

= 348

Step2:

LCM(6, 506) = 1518

GCD(6, 506) = ( 6 x 506 ) / 1518

= 6 / 506

= 6

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 348, 366, 506, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 964, 544, 944
• GCD of 314, 574, 534, 546
• GCD of 745, 453, 274, 455
• GCD of 148, 360, 310, 558
• GCD of 837, 112, 379, 470

Given numbers are 348, 366, 506, 189
The greatest common divisor of numbers 348, 366, 506, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 366, 506, 189 is 1.

1. What is the GCD of 348, 366, 506, 189?

GCD of given numbers 348, 366, 506, 189 is 1

2. How to calculate the greatest common divisor of 348, 366, 506, 189?

We can find the highest common divisor of 348, 366, 506, 189 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, 366, 506, 189 i.e 1.

3. How can I use the GCD of 348, 366, 506, 189Calculator?

Out the numbers 348, 366, 506, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.