GCD of 820, 102, 734, 935 Calculator

Given Input numbers are 820, 102, 734, 935

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

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 102

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

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 820, 102, 734, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 102, 734, 935 is 1.

Therefore, GCD of numbers 820, 102, 734, 935 is 1

Given Input Data is 820, 102, 734, 935

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

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 734 is 2 x 367

Prime Factorization of 935 is 5 x 11 x 17

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(820, 102) = 41820

GCD(820, 102) = ( 820 x 102 ) / 41820

GCD(820, 102) = 83640 / 41820

GCD(820, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 935

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

LCM(2, 935) = 1870

GCD(2, 935) = ( 2 x 935 ) / 1870

GCD(2, 935) = 1870 / 1870

GCD(2, 935) = 1

GCD of 820, 102, 734, 935 is 1

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• GCD of 746, 820, 406, 770
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• GCD of 483, 949, 576, 637

1. What is the GCD of 820, 102, 734, 935?

GCD of 820, 102, 734, 935 is 1

2. Where do I get the detailed procedure to find GCD of 820, 102, 734, 935?

You can find a detailed procedure to find GCD of 820, 102, 734, 935 on our page.

3. How to find GCD of 820, 102, 734, 935 on a calculator?

You can find the GCD of 820, 102, 734, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.