GCD of 478, 746, 883, 312 Calculator

Given Input numbers are 478, 746, 883, 312

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

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

Greatest Common Divisior

We found the divisors of 478, 746, 883, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 746, 883, 312 is 1.

Therefore, GCD of numbers 478, 746, 883, 312 is 1

Given Input Data is 478, 746, 883, 312

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 746 is 2 x 373

Prime Factorization of 883 is 883

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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, 746) = 178294

GCD(478, 746) = ( 478 x 746 ) / 178294

GCD(478, 746) = 356588 / 178294

GCD(478, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 883

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

LCM(2, 883) = 1766

GCD(2, 883) = ( 2 x 883 ) / 1766

GCD(2, 883) = 1766 / 1766

GCD(2, 883) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 478, 746, 883, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 352, 953, 459
• GCD of 849, 624, 808, 917
• GCD of 728, 230, 543, 223
• GCD of 843, 144, 924, 314
• GCD of 652, 119, 782, 311

1. What is the GCD of 478, 746, 883, 312?

GCD of 478, 746, 883, 312 is 1

2. Where do I get the detailed procedure to find GCD of 478, 746, 883, 312?

You can find a detailed procedure to find GCD of 478, 746, 883, 312 on our page.

3. How to find GCD of 478, 746, 883, 312 on a calculator?

You can find the GCD of 478, 746, 883, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.