GCD of 478, 510, 921, 123 Calculator

Given Input numbers are 478, 510, 921, 123

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 478, 510, 921, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 510, 921, 123 is 1.

Therefore, GCD of numbers 478, 510, 921, 123 is 1

Given Input Data is 478, 510, 921, 123

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 921 is 3 x 307

Prime Factorization of 123 is 3 x 41

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(478, 510) = 121890

GCD(478, 510) = ( 478 x 510 ) / 121890

GCD(478, 510) = 243780 / 121890

GCD(478, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 478, 510, 921, 123 is 1

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1. What is the GCD of 478, 510, 921, 123?

GCD of 478, 510, 921, 123 is 1

2. Where do I get the detailed procedure to find GCD of 478, 510, 921, 123?

You can find a detailed procedure to find GCD of 478, 510, 921, 123 on our page.

3. How to find GCD of 478, 510, 921, 123 on a calculator?

You can find the GCD of 478, 510, 921, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.