GCD of 100, 434, 423, 693 Calculator

Given Input numbers are 100, 434, 423, 693

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 100, 434, 423, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 434, 423, 693 is 1.

Therefore, GCD of numbers 100, 434, 423, 693 is 1

Given Input Data is 100, 434, 423, 693

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(100, 434) = 21700

GCD(100, 434) = ( 100 x 434 ) / 21700

GCD(100, 434) = 43400 / 21700

GCD(100, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 100, 434, 423, 693 is 1

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• GCD of 796, 485, 752, 810
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1. What is the GCD of 100, 434, 423, 693?

GCD of 100, 434, 423, 693 is 1

2. Where do I get the detailed procedure to find GCD of 100, 434, 423, 693?

You can find a detailed procedure to find GCD of 100, 434, 423, 693 on our page.

3. How to find GCD of 100, 434, 423, 693 on a calculator?

You can find the GCD of 100, 434, 423, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.