GCD of 743, 142, 659, 514 Calculator

Given Input numbers are 743, 142, 659, 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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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, 142, 659, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 142, 659, 514 is 1.

Therefore, GCD of numbers 743, 142, 659, 514 is 1

Given Input Data is 743, 142, 659, 514

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

Prime Factorization of 743 is 743

Prime Factorization of 142 is 2 x 71

Prime Factorization of 659 is 659

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, 142) = 105506

GCD(743, 142) = ( 743 x 142 ) / 105506

GCD(743, 142) = 105506 / 105506

GCD(743, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 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, 142, 659, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 618, 555, 473
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1. What is the GCD of 743, 142, 659, 514?

GCD of 743, 142, 659, 514 is 1

2. Where do I get the detailed procedure to find GCD of 743, 142, 659, 514?

You can find a detailed procedure to find GCD of 743, 142, 659, 514 on our page.

3. How to find GCD of 743, 142, 659, 514 on a calculator?

You can find the GCD of 743, 142, 659, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.