GCD of 473, 109, 624, 269 Calculator

Given Input numbers are 473, 109, 624, 269

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 473, 109, 624, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 109, 624, 269 is 1.

Therefore, GCD of numbers 473, 109, 624, 269 is 1

Given Input Data is 473, 109, 624, 269

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 109 is 109

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 269 is 269

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(473, 109) = 51557

GCD(473, 109) = ( 473 x 109 ) / 51557

GCD(473, 109) = 51557 / 51557

GCD(473, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 473, 109, 624, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 651, 917, 391
• GCD of 275, 804, 529, 968
• GCD of 766, 427, 363, 190
• GCD of 605, 514, 275, 900
• GCD of 228, 354, 720, 206

1. What is the GCD of 473, 109, 624, 269?

GCD of 473, 109, 624, 269 is 1

2. Where do I get the detailed procedure to find GCD of 473, 109, 624, 269?

You can find a detailed procedure to find GCD of 473, 109, 624, 269 on our page.

3. How to find GCD of 473, 109, 624, 269 on a calculator?

You can find the GCD of 473, 109, 624, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.