GCD of 490, 590, 122, 265 Calculator

Given Input numbers are 490, 590, 122, 265

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 490, 590, 122, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 590, 122, 265 is 1.

Therefore, GCD of numbers 490, 590, 122, 265 is 1

Given Input Data is 490, 590, 122, 265

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 122 is 2 x 61

Prime Factorization of 265 is 5 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(490, 590) = 28910

GCD(490, 590) = ( 490 x 590 ) / 28910

GCD(490, 590) = 289100 / 28910

GCD(490, 590) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 122

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

LCM(10, 122) = 610

GCD(10, 122) = ( 10 x 122 ) / 610

GCD(10, 122) = 1220 / 610

GCD(10, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

GCD of 490, 590, 122, 265 is 1

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1. What is the GCD of 490, 590, 122, 265?

GCD of 490, 590, 122, 265 is 1

2. Where do I get the detailed procedure to find GCD of 490, 590, 122, 265?

You can find a detailed procedure to find GCD of 490, 590, 122, 265 on our page.

3. How to find GCD of 490, 590, 122, 265 on a calculator?

You can find the GCD of 490, 590, 122, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.