GCD of 743, 435, 12, 664 Calculator

Given Input numbers are 743, 435, 12, 664

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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 743, 435, 12, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 435, 12, 664 is 1.

Therefore, GCD of numbers 743, 435, 12, 664 is 1

Given Input Data is 743, 435, 12, 664

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

Prime Factorization of 743 is 743

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 664 is 2 x 2 x 2 x 83

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, 435) = 323205

GCD(743, 435) = ( 743 x 435 ) / 323205

GCD(743, 435) = 323205 / 323205

GCD(743, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 743, 435, 12, 664 is 1

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• GCD of 347, 428, 61, 588
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• GCD of 709, 890, 90, 613

1. What is the GCD of 743, 435, 12, 664?

GCD of 743, 435, 12, 664 is 1

2. Where do I get the detailed procedure to find GCD of 743, 435, 12, 664?

You can find a detailed procedure to find GCD of 743, 435, 12, 664 on our page.

3. How to find GCD of 743, 435, 12, 664 on a calculator?

You can find the GCD of 743, 435, 12, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.