GCD of 290, 610, 62, 826 Calculator

Given Input numbers are 290, 610, 62, 826

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

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 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 290, 610, 62, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 610, 62, 826 is 2.

Therefore, GCD of numbers 290, 610, 62, 826 is 2

Given Input Data is 290, 610, 62, 826

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 62 is 2 x 31

Prime Factorization of 826 is 2 x 7 x 59

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(290, 610) = 17690

GCD(290, 610) = ( 290 x 610 ) / 17690

GCD(290, 610) = 176900 / 17690

GCD(290, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 62

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

LCM(10, 62) = 310

GCD(10, 62) = ( 10 x 62 ) / 310

GCD(10, 62) = 620 / 310

GCD(10, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

GCD of 290, 610, 62, 826 is 2

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1. What is the GCD of 290, 610, 62, 826?

GCD of 290, 610, 62, 826 is 2

2. Where do I get the detailed procedure to find GCD of 290, 610, 62, 826?

You can find a detailed procedure to find GCD of 290, 610, 62, 826 on our page.

3. How to find GCD of 290, 610, 62, 826 on a calculator?

You can find the GCD of 290, 610, 62, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.