GCD of 28, 584, 732, 670 Calculator

Given Input numbers are 28, 584, 732, 670

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 28, 584, 732, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 584, 732, 670 is 2.

Therefore, GCD of numbers 28, 584, 732, 670 is 2

Given Input Data is 28, 584, 732, 670

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 670 is 2 x 5 x 67

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(28, 584) = 4088

GCD(28, 584) = ( 28 x 584 ) / 4088

GCD(28, 584) = 16352 / 4088

GCD(28, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 670

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

LCM(4, 670) = 1340

GCD(4, 670) = ( 4 x 670 ) / 1340

GCD(4, 670) = 2680 / 1340

GCD(4, 670) = 2

GCD of 28, 584, 732, 670 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 925, 185, 712
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• GCD of 14, 495, 684, 840

1. What is the GCD of 28, 584, 732, 670?

GCD of 28, 584, 732, 670 is 2

2. Where do I get the detailed procedure to find GCD of 28, 584, 732, 670?

You can find a detailed procedure to find GCD of 28, 584, 732, 670 on our page.

3. How to find GCD of 28, 584, 732, 670 on a calculator?

You can find the GCD of 28, 584, 732, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.