GCD of 349, 707, 523, 823 Calculator

Given Input numbers are 349, 707, 523, 823

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 349, 707, 523, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 707, 523, 823 is 1.

Therefore, GCD of numbers 349, 707, 523, 823 is 1

Given Input Data is 349, 707, 523, 823

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

Prime Factorization of 349 is 349

Prime Factorization of 707 is 7 x 101

Prime Factorization of 523 is 523

Prime Factorization of 823 is 823

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, 707) = 246743

GCD(349, 707) = ( 349 x 707 ) / 246743

GCD(349, 707) = 246743 / 246743

GCD(349, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 349, 707, 523, 823 is 1

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1. What is the GCD of 349, 707, 523, 823?

GCD of 349, 707, 523, 823 is 1

2. Where do I get the detailed procedure to find GCD of 349, 707, 523, 823?

You can find a detailed procedure to find GCD of 349, 707, 523, 823 on our page.

3. How to find GCD of 349, 707, 523, 823 on a calculator?

You can find the GCD of 349, 707, 523, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.