GCD of 100, 613, 633, 768 Calculator

Given Input numbers are 100, 613, 633, 768

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 100, 613, 633, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 613, 633, 768 is 1.

Therefore, GCD of numbers 100, 613, 633, 768 is 1

Given Input Data is 100, 613, 633, 768

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 613 is 613

Prime Factorization of 633 is 3 x 211

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 613) = 61300

GCD(100, 613) = ( 100 x 613 ) / 61300

GCD(100, 613) = 61300 / 61300

GCD(100, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 100, 613, 633, 768 is 1

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• GCD of 194, 468, 581, 237
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1. What is the GCD of 100, 613, 633, 768?

GCD of 100, 613, 633, 768 is 1

2. Where do I get the detailed procedure to find GCD of 100, 613, 633, 768?

You can find a detailed procedure to find GCD of 100, 613, 633, 768 on our page.

3. How to find GCD of 100, 613, 633, 768 on a calculator?

You can find the GCD of 100, 613, 633, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.