GCD of 109, 769, 458, 825 Calculator

Given Input numbers are 109, 769, 458, 825

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 109, 769, 458, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 769, 458, 825 is 1.

Therefore, GCD of numbers 109, 769, 458, 825 is 1

Given Input Data is 109, 769, 458, 825

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

Prime Factorization of 109 is 109

Prime Factorization of 769 is 769

Prime Factorization of 458 is 2 x 229

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(109, 769) = 83821

GCD(109, 769) = ( 109 x 769 ) / 83821

GCD(109, 769) = 83821 / 83821

GCD(109, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 109, 769, 458, 825 is 1

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• GCD of 125, 204, 438, 406
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1. What is the GCD of 109, 769, 458, 825?

GCD of 109, 769, 458, 825 is 1

2. Where do I get the detailed procedure to find GCD of 109, 769, 458, 825?

You can find a detailed procedure to find GCD of 109, 769, 458, 825 on our page.

3. How to find GCD of 109, 769, 458, 825 on a calculator?

You can find the GCD of 109, 769, 458, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.