GCD of 323, 275, 49, 356 Calculator

Given Input numbers are 323, 275, 49, 356

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 323, 275, 49, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 275, 49, 356 is 1.

Therefore, GCD of numbers 323, 275, 49, 356 is 1

Given Input Data is 323, 275, 49, 356

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 356 is 2 x 2 x 89

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(323, 275) = 88825

GCD(323, 275) = ( 323 x 275 ) / 88825

GCD(323, 275) = 88825 / 88825

GCD(323, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 323, 275, 49, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 854, 58, 592
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• GCD of 700, 521, 57, 997
• GCD of 690, 790, 90, 331
• GCD of 627, 464, 76, 375

1. What is the GCD of 323, 275, 49, 356?

GCD of 323, 275, 49, 356 is 1

2. Where do I get the detailed procedure to find GCD of 323, 275, 49, 356?

You can find a detailed procedure to find GCD of 323, 275, 49, 356 on our page.

3. How to find GCD of 323, 275, 49, 356 on a calculator?

You can find the GCD of 323, 275, 49, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.