GCD of 292, 164, 188, 146 Calculator

Given Input numbers are 292, 164, 188, 146

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 292, 164, 188, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 164, 188, 146 is 2.

Therefore, GCD of numbers 292, 164, 188, 146 is 2

Given Input Data is 292, 164, 188, 146

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 146 is 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(292, 164) = 11972

GCD(292, 164) = ( 292 x 164 ) / 11972

GCD(292, 164) = 47888 / 11972

GCD(292, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 188

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

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

GCD(4, 188) = 752 / 188

GCD(4, 188) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 146

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

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

GCD(4, 146) = 584 / 292

GCD(4, 146) = 2

GCD of 292, 164, 188, 146 is 2

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1. What is the GCD of 292, 164, 188, 146?

GCD of 292, 164, 188, 146 is 2

2. Where do I get the detailed procedure to find GCD of 292, 164, 188, 146?

You can find a detailed procedure to find GCD of 292, 164, 188, 146 on our page.

3. How to find GCD of 292, 164, 188, 146 on a calculator?

You can find the GCD of 292, 164, 188, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.