GCD of 724, 513, 161, 643 Calculator

Given Input numbers are 724, 513, 161, 643

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 724, 513, 161, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 513, 161, 643 is 1.

Therefore, GCD of numbers 724, 513, 161, 643 is 1

Given Input Data is 724, 513, 161, 643

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

Prime Factorization of 724 is 2 x 2 x 181

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 643 is 643

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(724, 513) = 371412

GCD(724, 513) = ( 724 x 513 ) / 371412

GCD(724, 513) = 371412 / 371412

GCD(724, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 724, 513, 161, 643 is 1

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1. What is the GCD of 724, 513, 161, 643?

GCD of 724, 513, 161, 643 is 1

2. Where do I get the detailed procedure to find GCD of 724, 513, 161, 643?

You can find a detailed procedure to find GCD of 724, 513, 161, 643 on our page.

3. How to find GCD of 724, 513, 161, 643 on a calculator?

You can find the GCD of 724, 513, 161, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.