GCD of 67, 345, 179, 188 Calculator

Given Input numbers are 67, 345, 179, 188

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 67, 345, 179, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 345, 179, 188 is 1.

Therefore, GCD of numbers 67, 345, 179, 188 is 1

Given Input Data is 67, 345, 179, 188

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

Prime Factorization of 67 is 67

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 179 is 179

Prime Factorization of 188 is 2 x 2 x 47

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(67, 345) = 23115

GCD(67, 345) = ( 67 x 345 ) / 23115

GCD(67, 345) = 23115 / 23115

GCD(67, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 67, 345, 179, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 472, 212, 104
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• GCD of 17, 238, 366, 287
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• GCD of 39, 895, 117, 132

1. What is the GCD of 67, 345, 179, 188?

GCD of 67, 345, 179, 188 is 1

2. Where do I get the detailed procedure to find GCD of 67, 345, 179, 188?

You can find a detailed procedure to find GCD of 67, 345, 179, 188 on our page.

3. How to find GCD of 67, 345, 179, 188 on a calculator?

You can find the GCD of 67, 345, 179, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.