GCD of 755, 375, 299, 829 Calculator

Given Input numbers are 755, 375, 299, 829

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

Divisors of 755

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

1, 5, 151, 755

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 755, 375, 299, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 375, 299, 829 is 1.

Therefore, GCD of numbers 755, 375, 299, 829 is 1

Given Input Data is 755, 375, 299, 829

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 299 is 13 x 23

Prime Factorization of 829 is 829

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(755, 375) = 56625

GCD(755, 375) = ( 755 x 375 ) / 56625

GCD(755, 375) = 283125 / 56625

GCD(755, 375) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 299

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

LCM(5, 299) = 1495

GCD(5, 299) = ( 5 x 299 ) / 1495

GCD(5, 299) = 1495 / 1495

GCD(5, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 755, 375, 299, 829 is 1

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• GCD of 536, 760, 885, 603
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1. What is the GCD of 755, 375, 299, 829?

GCD of 755, 375, 299, 829 is 1

2. Where do I get the detailed procedure to find GCD of 755, 375, 299, 829?

You can find a detailed procedure to find GCD of 755, 375, 299, 829 on our page.

3. How to find GCD of 755, 375, 299, 829 on a calculator?

You can find the GCD of 755, 375, 299, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.