GCD of 492, 253, 701, 585 Calculator

Given Input numbers are 492, 253, 701, 585

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 492, 253, 701, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 253, 701, 585 is 1.

Therefore, GCD of numbers 492, 253, 701, 585 is 1

Given Input Data is 492, 253, 701, 585

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 253 is 11 x 23

Prime Factorization of 701 is 701

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(492, 253) = 124476

GCD(492, 253) = ( 492 x 253 ) / 124476

GCD(492, 253) = 124476 / 124476

GCD(492, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 492, 253, 701, 585 is 1

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1. What is the GCD of 492, 253, 701, 585?

GCD of 492, 253, 701, 585 is 1

2. Where do I get the detailed procedure to find GCD of 492, 253, 701, 585?

You can find a detailed procedure to find GCD of 492, 253, 701, 585 on our page.

3. How to find GCD of 492, 253, 701, 585 on a calculator?

You can find the GCD of 492, 253, 701, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.