GCD of 692, 820, 265, 313 Calculator

Given Input numbers are 692, 820, 265, 313

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 265

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

1, 5, 53, 265

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 692, 820, 265, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 820, 265, 313 is 1.

Therefore, GCD of numbers 692, 820, 265, 313 is 1

Given Input Data is 692, 820, 265, 313

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 265 is 5 x 53

Prime Factorization of 313 is 313

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(692, 820) = 141860

GCD(692, 820) = ( 692 x 820 ) / 141860

GCD(692, 820) = 567440 / 141860

GCD(692, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 692, 820, 265, 313 is 1

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1. What is the GCD of 692, 820, 265, 313?

GCD of 692, 820, 265, 313 is 1

2. Where do I get the detailed procedure to find GCD of 692, 820, 265, 313?

You can find a detailed procedure to find GCD of 692, 820, 265, 313 on our page.

3. How to find GCD of 692, 820, 265, 313 on a calculator?

You can find the GCD of 692, 820, 265, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.