GCD of 69, 477, 893, 353 Calculator

Given Input numbers are 69, 477, 893, 353

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 69, 477, 893, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 477, 893, 353 is 1.

Therefore, GCD of numbers 69, 477, 893, 353 is 1

Given Input Data is 69, 477, 893, 353

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 893 is 19 x 47

Prime Factorization of 353 is 353

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(69, 477) = 10971

GCD(69, 477) = ( 69 x 477 ) / 10971

GCD(69, 477) = 32913 / 10971

GCD(69, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 893

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

LCM(3, 893) = 2679

GCD(3, 893) = ( 3 x 893 ) / 2679

GCD(3, 893) = 2679 / 2679

GCD(3, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 69, 477, 893, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 966, 130, 497
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• GCD of 69, 862, 504, 412
• GCD of 44, 102, 785, 987

1. What is the GCD of 69, 477, 893, 353?

GCD of 69, 477, 893, 353 is 1

2. Where do I get the detailed procedure to find GCD of 69, 477, 893, 353?

You can find a detailed procedure to find GCD of 69, 477, 893, 353 on our page.

3. How to find GCD of 69, 477, 893, 353 on a calculator?

You can find the GCD of 69, 477, 893, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.