GCD of 610, 392, 20, 358 Calculator

Given Input numbers are 610, 392, 20, 358

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 610, 392, 20, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 392, 20, 358 is 2.

Therefore, GCD of numbers 610, 392, 20, 358 is 2

Given Input Data is 610, 392, 20, 358

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 358 is 2 x 179

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(610, 392) = 119560

GCD(610, 392) = ( 610 x 392 ) / 119560

GCD(610, 392) = 239120 / 119560

GCD(610, 392) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 610, 392, 20, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 885, 84, 681
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• GCD of 511, 128, 78, 415

1. What is the GCD of 610, 392, 20, 358?

GCD of 610, 392, 20, 358 is 2

2. Where do I get the detailed procedure to find GCD of 610, 392, 20, 358?

You can find a detailed procedure to find GCD of 610, 392, 20, 358 on our page.

3. How to find GCD of 610, 392, 20, 358 on a calculator?

You can find the GCD of 610, 392, 20, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.