GCD of 788, 169, 946, 498 Calculator

Given Input numbers are 788, 169, 946, 498

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 169

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

1, 13, 169

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 788, 169, 946, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 169, 946, 498 is 1.

Therefore, GCD of numbers 788, 169, 946, 498 is 1

Given Input Data is 788, 169, 946, 498

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 169 is 13 x 13

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 498 is 2 x 3 x 83

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(788, 169) = 133172

GCD(788, 169) = ( 788 x 169 ) / 133172

GCD(788, 169) = 133172 / 133172

GCD(788, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 788, 169, 946, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 747, 978, 199
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• GCD of 476, 238, 798, 187

1. What is the GCD of 788, 169, 946, 498?

GCD of 788, 169, 946, 498 is 1

2. Where do I get the detailed procedure to find GCD of 788, 169, 946, 498?

You can find a detailed procedure to find GCD of 788, 169, 946, 498 on our page.

3. How to find GCD of 788, 169, 946, 498 on a calculator?

You can find the GCD of 788, 169, 946, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.