GCD of 513, 971, 23, 343 Calculator

Given Input numbers are 513, 971, 23, 343

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 23

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

1, 23

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 513, 971, 23, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 971, 23, 343 is 1.

Therefore, GCD of numbers 513, 971, 23, 343 is 1

Given Input Data is 513, 971, 23, 343

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 971 is 971

Prime Factorization of 23 is 23

Prime Factorization of 343 is 7 x 7 x 7

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(513, 971) = 498123

GCD(513, 971) = ( 513 x 971 ) / 498123

GCD(513, 971) = 498123 / 498123

GCD(513, 971) = 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 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 513, 971, 23, 343 is 1

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• GCD of 265, 723, 64, 854
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• GCD of 419, 119, 53, 862

1. What is the GCD of 513, 971, 23, 343?

GCD of 513, 971, 23, 343 is 1

2. Where do I get the detailed procedure to find GCD of 513, 971, 23, 343?

You can find a detailed procedure to find GCD of 513, 971, 23, 343 on our page.

3. How to find GCD of 513, 971, 23, 343 on a calculator?

You can find the GCD of 513, 971, 23, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.