GCD of 106, 810, 469, 769 Calculator

Given Input numbers are 106, 810, 469, 769

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 769

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

1, 769

Greatest Common Divisior

We found the divisors of 106, 810, 469, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 810, 469, 769 is 1.

Therefore, GCD of numbers 106, 810, 469, 769 is 1

Given Input Data is 106, 810, 469, 769

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 469 is 7 x 67

Prime Factorization of 769 is 769

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(106, 810) = 42930

GCD(106, 810) = ( 106 x 810 ) / 42930

GCD(106, 810) = 85860 / 42930

GCD(106, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 106, 810, 469, 769 is 1

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• GCD of 812, 849, 607, 200
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• GCD of 568, 535, 674, 749

1. What is the GCD of 106, 810, 469, 769?

GCD of 106, 810, 469, 769 is 1

2. Where do I get the detailed procedure to find GCD of 106, 810, 469, 769?

You can find a detailed procedure to find GCD of 106, 810, 469, 769 on our page.

3. How to find GCD of 106, 810, 469, 769 on a calculator?

You can find the GCD of 106, 810, 469, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.