GCD of 305, 462, 102, 763 Calculator

Given Input numbers are 305, 462, 102, 763

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 305, 462, 102, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 462, 102, 763 is 1.

Therefore, GCD of numbers 305, 462, 102, 763 is 1

Given Input Data is 305, 462, 102, 763

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 763 is 7 x 109

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(305, 462) = 140910

GCD(305, 462) = ( 305 x 462 ) / 140910

GCD(305, 462) = 140910 / 140910

GCD(305, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 305, 462, 102, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 297, 381, 562
• GCD of 245, 718, 842, 711
• GCD of 453, 113, 205, 321
• GCD of 475, 904, 535, 445
• GCD of 431, 794, 211, 157

1. What is the GCD of 305, 462, 102, 763?

GCD of 305, 462, 102, 763 is 1

2. Where do I get the detailed procedure to find GCD of 305, 462, 102, 763?

You can find a detailed procedure to find GCD of 305, 462, 102, 763 on our page.

3. How to find GCD of 305, 462, 102, 763 on a calculator?

You can find the GCD of 305, 462, 102, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.