GCD of 812, 763, 76, 105 Calculator

Given Input numbers are 812, 763, 76, 105

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 763

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

1, 7, 109, 763

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 812, 763, 76, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 763, 76, 105 is 1.

Therefore, GCD of numbers 812, 763, 76, 105 is 1

Given Input Data is 812, 763, 76, 105

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 763 is 7 x 109

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 105 is 3 x 5 x 7

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(812, 763) = 88508

GCD(812, 763) = ( 812 x 763 ) / 88508

GCD(812, 763) = 619556 / 88508

GCD(812, 763) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 76

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

LCM(7, 76) = 532

GCD(7, 76) = ( 7 x 76 ) / 532

GCD(7, 76) = 532 / 532

GCD(7, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 812, 763, 76, 105 is 1

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• GCD of 657, 248, 25, 351
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1. What is the GCD of 812, 763, 76, 105?

GCD of 812, 763, 76, 105 is 1

2. Where do I get the detailed procedure to find GCD of 812, 763, 76, 105?

You can find a detailed procedure to find GCD of 812, 763, 76, 105 on our page.

3. How to find GCD of 812, 763, 76, 105 on a calculator?

You can find the GCD of 812, 763, 76, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.