GCD of 292, 452, 232, 138 Calculator

Given Input numbers are 292, 452, 232, 138

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 292, 452, 232, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 452, 232, 138 is 2.

Therefore, GCD of numbers 292, 452, 232, 138 is 2

Given Input Data is 292, 452, 232, 138

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 452 is 2 x 2 x 113

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 138 is 2 x 3 x 23

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, 452) = 32996

GCD(292, 452) = ( 292 x 452 ) / 32996

GCD(292, 452) = 131984 / 32996

GCD(292, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 232

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

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

GCD(4, 232) = 928 / 232

GCD(4, 232) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 138

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

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

GCD(4, 138) = 552 / 276

GCD(4, 138) = 2

GCD of 292, 452, 232, 138 is 2

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1. What is the GCD of 292, 452, 232, 138?

GCD of 292, 452, 232, 138 is 2

2. Where do I get the detailed procedure to find GCD of 292, 452, 232, 138?

You can find a detailed procedure to find GCD of 292, 452, 232, 138 on our page.

3. How to find GCD of 292, 452, 232, 138 on a calculator?

You can find the GCD of 292, 452, 232, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.