GCD of 740, 418, 38, 162 Calculator

Given Input numbers are 740, 418, 38, 162

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 740, 418, 38, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 418, 38, 162 is 2.

Therefore, GCD of numbers 740, 418, 38, 162 is 2

Given Input Data is 740, 418, 38, 162

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 38 is 2 x 19

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(740, 418) = 154660

GCD(740, 418) = ( 740 x 418 ) / 154660

GCD(740, 418) = 309320 / 154660

GCD(740, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

GCD of 740, 418, 38, 162 is 2

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• GCD of 431, 966, 57, 545
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1. What is the GCD of 740, 418, 38, 162?

GCD of 740, 418, 38, 162 is 2

2. Where do I get the detailed procedure to find GCD of 740, 418, 38, 162?

You can find a detailed procedure to find GCD of 740, 418, 38, 162 on our page.

3. How to find GCD of 740, 418, 38, 162 on a calculator?

You can find the GCD of 740, 418, 38, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.