GCD of 705, 154, 18, 829 Calculator

Given Input numbers are 705, 154, 18, 829

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 705, 154, 18, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 154, 18, 829 is 1.

Therefore, GCD of numbers 705, 154, 18, 829 is 1

Given Input Data is 705, 154, 18, 829

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 18 is 2 x 3 x 3

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(705, 154) = 108570

GCD(705, 154) = ( 705 x 154 ) / 108570

GCD(705, 154) = 108570 / 108570

GCD(705, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 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 705, 154, 18, 829 is 1

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• GCD of 553, 487, 56, 306
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• GCD of 271, 721, 55, 899

1. What is the GCD of 705, 154, 18, 829?

GCD of 705, 154, 18, 829 is 1

2. Where do I get the detailed procedure to find GCD of 705, 154, 18, 829?

You can find a detailed procedure to find GCD of 705, 154, 18, 829 on our page.

3. How to find GCD of 705, 154, 18, 829 on a calculator?

You can find the GCD of 705, 154, 18, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.