GCD of 869, 699, 69, 498 Calculator

Given Input numbers are 869, 699, 69, 498

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 869, 699, 69, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 699, 69, 498 is 1.

Therefore, GCD of numbers 869, 699, 69, 498 is 1

Given Input Data is 869, 699, 69, 498

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 699 is 3 x 233

Prime Factorization of 69 is 3 x 23

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(869, 699) = 607431

GCD(869, 699) = ( 869 x 699 ) / 607431

GCD(869, 699) = 607431 / 607431

GCD(869, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 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 869, 699, 69, 498 is 1

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1. What is the GCD of 869, 699, 69, 498?

GCD of 869, 699, 69, 498 is 1

2. Where do I get the detailed procedure to find GCD of 869, 699, 69, 498?

You can find a detailed procedure to find GCD of 869, 699, 69, 498 on our page.

3. How to find GCD of 869, 699, 69, 498 on a calculator?

You can find the GCD of 869, 699, 69, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.