GCD of 100, 390, 743, 755 Calculator

Given Input numbers are 100, 390, 743, 755

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 100, 390, 743, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 390, 743, 755 is 1.

Therefore, GCD of numbers 100, 390, 743, 755 is 1

Given Input Data is 100, 390, 743, 755

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 390 is 2 x 3 x 5 x 13

Prime Factorization of 743 is 743

Prime Factorization of 755 is 5 x 151

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, 390) = 3900

GCD(100, 390) = ( 100 x 390 ) / 3900

GCD(100, 390) = 39000 / 3900

GCD(100, 390) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 743

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

LCM(10, 743) = 7430

GCD(10, 743) = ( 10 x 743 ) / 7430

GCD(10, 743) = 7430 / 7430

GCD(10, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 100, 390, 743, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 800, 352, 994
• GCD of 271, 270, 945, 577
• GCD of 677, 527, 429, 122
• GCD of 544, 422, 400, 631
• GCD of 541, 141, 310, 569

1. What is the GCD of 100, 390, 743, 755?

GCD of 100, 390, 743, 755 is 1

2. Where do I get the detailed procedure to find GCD of 100, 390, 743, 755?

You can find a detailed procedure to find GCD of 100, 390, 743, 755 on our page.

3. How to find GCD of 100, 390, 743, 755 on a calculator?

You can find the GCD of 100, 390, 743, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.