GCD of 450, 514, 58, 709 Calculator

Given Input numbers are 450, 514, 58, 709

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 450, 514, 58, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 514, 58, 709 is 1.

Therefore, GCD of numbers 450, 514, 58, 709 is 1

Given Input Data is 450, 514, 58, 709

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 514 is 2 x 257

Prime Factorization of 58 is 2 x 29

Prime Factorization of 709 is 709

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(450, 514) = 115650

GCD(450, 514) = ( 450 x 514 ) / 115650

GCD(450, 514) = 231300 / 115650

GCD(450, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

GCD of 450, 514, 58, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 867, 56, 680
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• GCD of 241, 771, 52, 811
• GCD of 322, 753, 14, 754
• GCD of 904, 486, 99, 640

1. What is the GCD of 450, 514, 58, 709?

GCD of 450, 514, 58, 709 is 1

2. Where do I get the detailed procedure to find GCD of 450, 514, 58, 709?

You can find a detailed procedure to find GCD of 450, 514, 58, 709 on our page.

3. How to find GCD of 450, 514, 58, 709 on a calculator?

You can find the GCD of 450, 514, 58, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.