GCD of 366, 189, 758, 154 Calculator

Given Input numbers are 366, 189, 758, 154

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 366, 189, 758, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 189, 758, 154 is 1.

Therefore, GCD of numbers 366, 189, 758, 154 is 1

Given Input Data is 366, 189, 758, 154

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 758 is 2 x 379

Prime Factorization of 154 is 2 x 7 x 11

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(366, 189) = 23058

GCD(366, 189) = ( 366 x 189 ) / 23058

GCD(366, 189) = 69174 / 23058

GCD(366, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 366, 189, 758, 154 is 1

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• GCD of 571, 937, 194, 414
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1. What is the GCD of 366, 189, 758, 154?

GCD of 366, 189, 758, 154 is 1

2. Where do I get the detailed procedure to find GCD of 366, 189, 758, 154?

You can find a detailed procedure to find GCD of 366, 189, 758, 154 on our page.

3. How to find GCD of 366, 189, 758, 154 on a calculator?

You can find the GCD of 366, 189, 758, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.