GCD of 826, 349, 42, 755 Calculator

Given Input numbers are 826, 349, 42, 755

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 349

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

1, 349

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 826, 349, 42, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 349, 42, 755 is 1.

Therefore, GCD of numbers 826, 349, 42, 755 is 1

Given Input Data is 826, 349, 42, 755

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 349 is 349

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 755 is 5 x 151

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(826, 349) = 288274

GCD(826, 349) = ( 826 x 349 ) / 288274

GCD(826, 349) = 288274 / 288274

GCD(826, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 826, 349, 42, 755 is 1

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• GCD of 569, 222, 55, 371
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1. What is the GCD of 826, 349, 42, 755?

GCD of 826, 349, 42, 755 is 1

2. Where do I get the detailed procedure to find GCD of 826, 349, 42, 755?

You can find a detailed procedure to find GCD of 826, 349, 42, 755 on our page.

3. How to find GCD of 826, 349, 42, 755 on a calculator?

You can find the GCD of 826, 349, 42, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.