GCD of 806, 169, 70, 702 Calculator

Given Input numbers are 806, 169, 70, 702

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 806, 169, 70, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 169, 70, 702 is 1.

Therefore, GCD of numbers 806, 169, 70, 702 is 1

Given Input Data is 806, 169, 70, 702

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 169 is 13 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(806, 169) = 10478

GCD(806, 169) = ( 806 x 169 ) / 10478

GCD(806, 169) = 136214 / 10478

GCD(806, 169) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 70

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

LCM(13, 70) = 910

GCD(13, 70) = ( 13 x 70 ) / 910

GCD(13, 70) = 910 / 910

GCD(13, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 806, 169, 70, 702 is 1

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1. What is the GCD of 806, 169, 70, 702?

GCD of 806, 169, 70, 702 is 1

2. Where do I get the detailed procedure to find GCD of 806, 169, 70, 702?

You can find a detailed procedure to find GCD of 806, 169, 70, 702 on our page.

3. How to find GCD of 806, 169, 70, 702 on a calculator?

You can find the GCD of 806, 169, 70, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.