GCD of 693, 762, 379, 517 Calculator

Given Input numbers are 693, 762, 379, 517

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 693, 762, 379, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 762, 379, 517 is 1.

Therefore, GCD of numbers 693, 762, 379, 517 is 1

Given Input Data is 693, 762, 379, 517

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 379 is 379

Prime Factorization of 517 is 11 x 47

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(693, 762) = 176022

GCD(693, 762) = ( 693 x 762 ) / 176022

GCD(693, 762) = 528066 / 176022

GCD(693, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 379

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

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

GCD(3, 379) = 1137 / 1137

GCD(3, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 693, 762, 379, 517 is 1

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• GCD of 990, 513, 238, 160
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1. What is the GCD of 693, 762, 379, 517?

GCD of 693, 762, 379, 517 is 1

2. Where do I get the detailed procedure to find GCD of 693, 762, 379, 517?

You can find a detailed procedure to find GCD of 693, 762, 379, 517 on our page.

3. How to find GCD of 693, 762, 379, 517 on a calculator?

You can find the GCD of 693, 762, 379, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.