GCD of 624, 834, 54, 475 Calculator

Given Input numbers are 624, 834, 54, 475

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

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 624, 834, 54, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 834, 54, 475 is 1.

Therefore, GCD of numbers 624, 834, 54, 475 is 1

Given Input Data is 624, 834, 54, 475

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

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

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(624, 834) = 86736

GCD(624, 834) = ( 624 x 834 ) / 86736

GCD(624, 834) = 520416 / 86736

GCD(624, 834) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 54

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

LCM(6, 54) = 54

GCD(6, 54) = ( 6 x 54 ) / 54

GCD(6, 54) = 324 / 54

GCD(6, 54) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 475

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

LCM(6, 475) = 2850

GCD(6, 475) = ( 6 x 475 ) / 2850

GCD(6, 475) = 2850 / 2850

GCD(6, 475) = 1

GCD of 624, 834, 54, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 518, 32, 979
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• GCD of 678, 571, 14, 383
• GCD of 160, 826, 98, 831
• GCD of 313, 744, 20, 789

1. What is the GCD of 624, 834, 54, 475?

GCD of 624, 834, 54, 475 is 1

2. Where do I get the detailed procedure to find GCD of 624, 834, 54, 475?

You can find a detailed procedure to find GCD of 624, 834, 54, 475 on our page.

3. How to find GCD of 624, 834, 54, 475 on a calculator?

You can find the GCD of 624, 834, 54, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.