GCD of 743, 820, 132, 510 Calculator

Given Input numbers are 743, 820, 132, 510

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 743, 820, 132, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 820, 132, 510 is 1.

Therefore, GCD of numbers 743, 820, 132, 510 is 1

Given Input Data is 743, 820, 132, 510

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

Prime Factorization of 743 is 743

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 510 is 2 x 3 x 5 x 17

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, 820) = 609260

GCD(743, 820) = ( 743 x 820 ) / 609260

GCD(743, 820) = 609260 / 609260

GCD(743, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 743, 820, 132, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 826, 584, 372
• GCD of 436, 764, 733, 200
• GCD of 770, 100, 329, 431
• GCD of 519, 920, 432, 482
• GCD of 823, 145, 439, 763

1. What is the GCD of 743, 820, 132, 510?

GCD of 743, 820, 132, 510 is 1

2. Where do I get the detailed procedure to find GCD of 743, 820, 132, 510?

You can find a detailed procedure to find GCD of 743, 820, 132, 510 on our page.

3. How to find GCD of 743, 820, 132, 510 on a calculator?

You can find the GCD of 743, 820, 132, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.