GCD of 276, 236, 430, 452 Calculator

Given Input numbers are 276, 236, 430, 452

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 452

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

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 276, 236, 430, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 236, 430, 452 is 2.

Therefore, GCD of numbers 276, 236, 430, 452 is 2

Given Input Data is 276, 236, 430, 452

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 452 is 2 x 2 x 113

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(276, 236) = 16284

GCD(276, 236) = ( 276 x 236 ) / 16284

GCD(276, 236) = 65136 / 16284

GCD(276, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 430

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

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

GCD(4, 430) = 1720 / 860

GCD(4, 430) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 452

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

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

GCD(2, 452) = 904 / 452

GCD(2, 452) = 2

GCD of 276, 236, 430, 452 is 2

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1. What is the GCD of 276, 236, 430, 452?

GCD of 276, 236, 430, 452 is 2

2. Where do I get the detailed procedure to find GCD of 276, 236, 430, 452?

You can find a detailed procedure to find GCD of 276, 236, 430, 452 on our page.

3. How to find GCD of 276, 236, 430, 452 on a calculator?

You can find the GCD of 276, 236, 430, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.