GCD of 497, 954, 23, 613 Calculator

Given Input numbers are 497, 954, 23, 613

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 497, 954, 23, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 954, 23, 613 is 1.

Therefore, GCD of numbers 497, 954, 23, 613 is 1

Given Input Data is 497, 954, 23, 613

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 23 is 23

Prime Factorization of 613 is 613

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(497, 954) = 474138

GCD(497, 954) = ( 497 x 954 ) / 474138

GCD(497, 954) = 474138 / 474138

GCD(497, 954) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 497, 954, 23, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 204, 16, 503
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• GCD of 488, 651, 36, 256
• GCD of 524, 417, 55, 983
• GCD of 622, 219, 46, 110

1. What is the GCD of 497, 954, 23, 613?

GCD of 497, 954, 23, 613 is 1

2. Where do I get the detailed procedure to find GCD of 497, 954, 23, 613?

You can find a detailed procedure to find GCD of 497, 954, 23, 613 on our page.

3. How to find GCD of 497, 954, 23, 613 on a calculator?

You can find the GCD of 497, 954, 23, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.