GCD of 628, 944, 74, 270 Calculator

Given Input numbers are 628, 944, 74, 270

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 628, 944, 74, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 944, 74, 270 is 2.

Therefore, GCD of numbers 628, 944, 74, 270 is 2

Given Input Data is 628, 944, 74, 270

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 74 is 2 x 37

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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, 944) = 148208

GCD(628, 944) = ( 628 x 944 ) / 148208

GCD(628, 944) = 592832 / 148208

GCD(628, 944) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 628, 944, 74, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 651, 28, 159
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• GCD of 493, 182, 53, 485

1. What is the GCD of 628, 944, 74, 270?

GCD of 628, 944, 74, 270 is 2

2. Where do I get the detailed procedure to find GCD of 628, 944, 74, 270?

You can find a detailed procedure to find GCD of 628, 944, 74, 270 on our page.

3. How to find GCD of 628, 944, 74, 270 on a calculator?

You can find the GCD of 628, 944, 74, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.