GCD of 56, 266, 343, 524 Calculator

Given Input numbers are 56, 266, 343, 524

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 343

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

1, 7, 49, 343

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 56, 266, 343, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 266, 343, 524 is 1.

Therefore, GCD of numbers 56, 266, 343, 524 is 1

Given Input Data is 56, 266, 343, 524

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 524 is 2 x 2 x 131

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(56, 266) = 1064

GCD(56, 266) = ( 56 x 266 ) / 1064

GCD(56, 266) = 14896 / 1064

GCD(56, 266) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 343

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

LCM(14, 343) = 686

GCD(14, 343) = ( 14 x 343 ) / 686

GCD(14, 343) = 4802 / 686

GCD(14, 343) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 524

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

LCM(7, 524) = 3668

GCD(7, 524) = ( 7 x 524 ) / 3668

GCD(7, 524) = 3668 / 3668

GCD(7, 524) = 1

GCD of 56, 266, 343, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 431, 983, 422
• GCD of 88, 122, 886, 362
• GCD of 80, 524, 736, 706
• GCD of 97, 858, 916, 866
• GCD of 48, 342, 689, 676

1. What is the GCD of 56, 266, 343, 524?

GCD of 56, 266, 343, 524 is 1

2. Where do I get the detailed procedure to find GCD of 56, 266, 343, 524?

You can find a detailed procedure to find GCD of 56, 266, 343, 524 on our page.

3. How to find GCD of 56, 266, 343, 524 on a calculator?

You can find the GCD of 56, 266, 343, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.