GCD of 743, 686, 830, 514 Calculator

Given Input numbers are 743, 686, 830, 514

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 514

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

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 743, 686, 830, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 686, 830, 514 is 1.

Therefore, GCD of numbers 743, 686, 830, 514 is 1

Given Input Data is 743, 686, 830, 514

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

Prime Factorization of 743 is 743

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 514 is 2 x 257

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(743, 686) = 509698

GCD(743, 686) = ( 743 x 686 ) / 509698

GCD(743, 686) = 509698 / 509698

GCD(743, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 743, 686, 830, 514 is 1

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1. What is the GCD of 743, 686, 830, 514?

GCD of 743, 686, 830, 514 is 1

2. Where do I get the detailed procedure to find GCD of 743, 686, 830, 514?

You can find a detailed procedure to find GCD of 743, 686, 830, 514 on our page.

3. How to find GCD of 743, 686, 830, 514 on a calculator?

You can find the GCD of 743, 686, 830, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.