GCD of 172, 236, 28, 278 Calculator

Given Input numbers are 172, 236, 28, 278

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 236

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

1, 2, 4, 59, 118, 236

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 172, 236, 28, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 236, 28, 278 is 2.

Therefore, GCD of numbers 172, 236, 28, 278 is 2

Given Input Data is 172, 236, 28, 278

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 278 is 2 x 139

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(172, 236) = 10148

GCD(172, 236) = ( 172 x 236 ) / 10148

GCD(172, 236) = 40592 / 10148

GCD(172, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 28

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

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

GCD(4, 28) = 112 / 28

GCD(4, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 278

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

LCM(4, 278) = 556

GCD(4, 278) = ( 4 x 278 ) / 556

GCD(4, 278) = 1112 / 556

GCD(4, 278) = 2

GCD of 172, 236, 28, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 663, 18, 919
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• GCD of 135, 139, 13, 358
• GCD of 257, 379, 25, 260

1. What is the GCD of 172, 236, 28, 278?

GCD of 172, 236, 28, 278 is 2

2. Where do I get the detailed procedure to find GCD of 172, 236, 28, 278?

You can find a detailed procedure to find GCD of 172, 236, 28, 278 on our page.

3. How to find GCD of 172, 236, 28, 278 on a calculator?

You can find the GCD of 172, 236, 28, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.