GCD of 102, 105, 74, 900 Calculator

Given Input numbers are 102, 105, 74, 900

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 102, 105, 74, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 105, 74, 900 is 1.

Therefore, GCD of numbers 102, 105, 74, 900 is 1

Given Input Data is 102, 105, 74, 900

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(102, 105) = 3570

GCD(102, 105) = ( 102 x 105 ) / 3570

GCD(102, 105) = 10710 / 3570

GCD(102, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 102, 105, 74, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 760, 69, 363
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• GCD of 387, 491, 42, 128
• GCD of 264, 465, 68, 669

1. What is the GCD of 102, 105, 74, 900?

GCD of 102, 105, 74, 900 is 1

2. Where do I get the detailed procedure to find GCD of 102, 105, 74, 900?

You can find a detailed procedure to find GCD of 102, 105, 74, 900 on our page.

3. How to find GCD of 102, 105, 74, 900 on a calculator?

You can find the GCD of 102, 105, 74, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.