GCD of 694, 103, 255, 762 Calculator

Given Input numbers are 694, 103, 255, 762

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 762

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

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

Greatest Common Divisior

We found the divisors of 694, 103, 255, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 103, 255, 762 is 1.

Therefore, GCD of numbers 694, 103, 255, 762 is 1

Given Input Data is 694, 103, 255, 762

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 103 is 103

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 762 is 2 x 3 x 127

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(694, 103) = 71482

GCD(694, 103) = ( 694 x 103 ) / 71482

GCD(694, 103) = 71482 / 71482

GCD(694, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 694, 103, 255, 762 is 1

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1. What is the GCD of 694, 103, 255, 762?

GCD of 694, 103, 255, 762 is 1

2. Where do I get the detailed procedure to find GCD of 694, 103, 255, 762?

You can find a detailed procedure to find GCD of 694, 103, 255, 762 on our page.

3. How to find GCD of 694, 103, 255, 762 on a calculator?

You can find the GCD of 694, 103, 255, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.