GCD of 649, 516, 721, 457 Calculator

Given Input numbers are 649, 516, 721, 457

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 649, 516, 721, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 516, 721, 457 is 1.

Therefore, GCD of numbers 649, 516, 721, 457 is 1

Given Input Data is 649, 516, 721, 457

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 721 is 7 x 103

Prime Factorization of 457 is 457

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(649, 516) = 334884

GCD(649, 516) = ( 649 x 516 ) / 334884

GCD(649, 516) = 334884 / 334884

GCD(649, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 649, 516, 721, 457 is 1

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1. What is the GCD of 649, 516, 721, 457?

GCD of 649, 516, 721, 457 is 1

2. Where do I get the detailed procedure to find GCD of 649, 516, 721, 457?

You can find a detailed procedure to find GCD of 649, 516, 721, 457 on our page.

3. How to find GCD of 649, 516, 721, 457 on a calculator?

You can find the GCD of 649, 516, 721, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.