GCD of 643, 675, 74, 909 Calculator

Given Input numbers are 643, 675, 74, 909

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 74

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

1, 2, 37, 74

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 643, 675, 74, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 675, 74, 909 is 1.

Therefore, GCD of numbers 643, 675, 74, 909 is 1

Given Input Data is 643, 675, 74, 909

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

Prime Factorization of 643 is 643

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 909 is 3 x 3 x 101

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(643, 675) = 434025

GCD(643, 675) = ( 643 x 675 ) / 434025

GCD(643, 675) = 434025 / 434025

GCD(643, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 643, 675, 74, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 472, 64, 794
• GCD of 759, 292, 91, 619
• GCD of 201, 334, 83, 684
• GCD of 221, 205, 54, 319
• GCD of 628, 662, 63, 892

1. What is the GCD of 643, 675, 74, 909?

GCD of 643, 675, 74, 909 is 1

2. Where do I get the detailed procedure to find GCD of 643, 675, 74, 909?

You can find a detailed procedure to find GCD of 643, 675, 74, 909 on our page.

3. How to find GCD of 643, 675, 74, 909 on a calculator?

You can find the GCD of 643, 675, 74, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.