GCD of 610, 185, 40, 380 Calculator

Given Input numbers are 610, 185, 40, 380

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 610, 185, 40, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 185, 40, 380 is 5.

Therefore, GCD of numbers 610, 185, 40, 380 is 5

Given Input Data is 610, 185, 40, 380

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 185 is 5 x 37

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 380 is 2 x 2 x 5 x 19

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(610, 185) = 22570

GCD(610, 185) = ( 610 x 185 ) / 22570

GCD(610, 185) = 112850 / 22570

GCD(610, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 40

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

LCM(5, 40) = 40

GCD(5, 40) = ( 5 x 40 ) / 40

GCD(5, 40) = 200 / 40

GCD(5, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 380

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

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

GCD(5, 380) = 1900 / 380

GCD(5, 380) = 5

GCD of 610, 185, 40, 380 is 5

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1. What is the GCD of 610, 185, 40, 380?

GCD of 610, 185, 40, 380 is 5

2. Where do I get the detailed procedure to find GCD of 610, 185, 40, 380?

You can find a detailed procedure to find GCD of 610, 185, 40, 380 on our page.

3. How to find GCD of 610, 185, 40, 380 on a calculator?

You can find the GCD of 610, 185, 40, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.