GCD of 53, 265, 703, 824 Calculator

Given Input numbers are 53, 265, 703, 824

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 53, 265, 703, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 265, 703, 824 is 1.

Therefore, GCD of numbers 53, 265, 703, 824 is 1

Given Input Data is 53, 265, 703, 824

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

Prime Factorization of 53 is 53

Prime Factorization of 265 is 5 x 53

Prime Factorization of 703 is 19 x 37

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(53, 265) = 265

GCD(53, 265) = ( 53 x 265 ) / 265

GCD(53, 265) = 14045 / 265

GCD(53, 265) = 53

Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 703

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

LCM(53, 703) = 37259

GCD(53, 703) = ( 53 x 703 ) / 37259

GCD(53, 703) = 37259 / 37259

GCD(53, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 53, 265, 703, 824 is 1

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1. What is the GCD of 53, 265, 703, 824?

GCD of 53, 265, 703, 824 is 1

2. Where do I get the detailed procedure to find GCD of 53, 265, 703, 824?

You can find a detailed procedure to find GCD of 53, 265, 703, 824 on our page.

3. How to find GCD of 53, 265, 703, 824 on a calculator?

You can find the GCD of 53, 265, 703, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.