GCD of 343, 475, 306, 996 Calculator

Given Input numbers are 343, 475, 306, 996

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 475

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

1, 5, 19, 25, 95, 475

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 343, 475, 306, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 475, 306, 996 is 1.

Therefore, GCD of numbers 343, 475, 306, 996 is 1

Given Input Data is 343, 475, 306, 996

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(343, 475) = 162925

GCD(343, 475) = ( 343 x 475 ) / 162925

GCD(343, 475) = 162925 / 162925

GCD(343, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 343, 475, 306, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 944, 398, 277
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• GCD of 722, 381, 202, 594

1. What is the GCD of 343, 475, 306, 996?

GCD of 343, 475, 306, 996 is 1

2. Where do I get the detailed procedure to find GCD of 343, 475, 306, 996?

You can find a detailed procedure to find GCD of 343, 475, 306, 996 on our page.

3. How to find GCD of 343, 475, 306, 996 on a calculator?

You can find the GCD of 343, 475, 306, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.