GCD of 100, 741, 45, 884 Calculator

Given Input numbers are 100, 741, 45, 884

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 100, 741, 45, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 741, 45, 884 is 1.

Therefore, GCD of numbers 100, 741, 45, 884 is 1

Given Input Data is 100, 741, 45, 884

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 741 is 3 x 13 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 884 is 2 x 2 x 13 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(100, 741) = 74100

GCD(100, 741) = ( 100 x 741 ) / 74100

GCD(100, 741) = 74100 / 74100

GCD(100, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 100, 741, 45, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 425, 71, 714
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• GCD of 114, 212, 11, 121
• GCD of 749, 438, 27, 141

1. What is the GCD of 100, 741, 45, 884?

GCD of 100, 741, 45, 884 is 1

2. Where do I get the detailed procedure to find GCD of 100, 741, 45, 884?

You can find a detailed procedure to find GCD of 100, 741, 45, 884 on our page.

3. How to find GCD of 100, 741, 45, 884 on a calculator?

You can find the GCD of 100, 741, 45, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.