GCD of 349, 338, 29, 745 Calculator

Given Input numbers are 349, 338, 29, 745

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 745

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

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 349, 338, 29, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 338, 29, 745 is 1.

Therefore, GCD of numbers 349, 338, 29, 745 is 1

Given Input Data is 349, 338, 29, 745

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

Prime Factorization of 349 is 349

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 29 is 29

Prime Factorization of 745 is 5 x 149

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(349, 338) = 117962

GCD(349, 338) = ( 349 x 338 ) / 117962

GCD(349, 338) = 117962 / 117962

GCD(349, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 349, 338, 29, 745 is 1

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• GCD of 874, 384, 16, 228
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1. What is the GCD of 349, 338, 29, 745?

GCD of 349, 338, 29, 745 is 1

2. Where do I get the detailed procedure to find GCD of 349, 338, 29, 745?

You can find a detailed procedure to find GCD of 349, 338, 29, 745 on our page.

3. How to find GCD of 349, 338, 29, 745 on a calculator?

You can find the GCD of 349, 338, 29, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.