GCD of 638, 570, 670, 116 Calculator

Given Input numbers are 638, 570, 670, 116

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 670

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

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 638, 570, 670, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 570, 670, 116 is 2.

Therefore, GCD of numbers 638, 570, 670, 116 is 2

Given Input Data is 638, 570, 670, 116

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 116 is 2 x 2 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(638, 570) = 181830

GCD(638, 570) = ( 638 x 570 ) / 181830

GCD(638, 570) = 363660 / 181830

GCD(638, 570) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

GCD of 638, 570, 670, 116 is 2

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1. What is the GCD of 638, 570, 670, 116?

GCD of 638, 570, 670, 116 is 2

2. Where do I get the detailed procedure to find GCD of 638, 570, 670, 116?

You can find a detailed procedure to find GCD of 638, 570, 670, 116 on our page.

3. How to find GCD of 638, 570, 670, 116 on a calculator?

You can find the GCD of 638, 570, 670, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.