GCD of 343, 745, 44, 268 Calculator

Given Input numbers are 343, 745, 44, 268

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 343, 745, 44, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 745, 44, 268 is 1.

Therefore, GCD of numbers 343, 745, 44, 268 is 1

Given Input Data is 343, 745, 44, 268

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 745 is 5 x 149

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 268 is 2 x 2 x 67

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, 745) = 255535

GCD(343, 745) = ( 343 x 745 ) / 255535

GCD(343, 745) = 255535 / 255535

GCD(343, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 343, 745, 44, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 204, 35, 233
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• GCD of 646, 288, 68, 774

1. What is the GCD of 343, 745, 44, 268?

GCD of 343, 745, 44, 268 is 1

2. Where do I get the detailed procedure to find GCD of 343, 745, 44, 268?

You can find a detailed procedure to find GCD of 343, 745, 44, 268 on our page.

3. How to find GCD of 343, 745, 44, 268 on a calculator?

You can find the GCD of 343, 745, 44, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.