GCD of 628, 156, 26, 348 Calculator

Given Input numbers are 628, 156, 26, 348

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 628, 156, 26, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 156, 26, 348 is 2.

Therefore, GCD of numbers 628, 156, 26, 348 is 2

Given Input Data is 628, 156, 26, 348

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 26 is 2 x 13

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(628, 156) = 24492

GCD(628, 156) = ( 628 x 156 ) / 24492

GCD(628, 156) = 97968 / 24492

GCD(628, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 628, 156, 26, 348 is 2

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1. What is the GCD of 628, 156, 26, 348?

GCD of 628, 156, 26, 348 is 2

2. Where do I get the detailed procedure to find GCD of 628, 156, 26, 348?

You can find a detailed procedure to find GCD of 628, 156, 26, 348 on our page.

3. How to find GCD of 628, 156, 26, 348 on a calculator?

You can find the GCD of 628, 156, 26, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.