GCD of 798, 690, 77, 106 Calculator

Given Input numbers are 798, 690, 77, 106

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 798, 690, 77, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 690, 77, 106 is 1.

Therefore, GCD of numbers 798, 690, 77, 106 is 1

Given Input Data is 798, 690, 77, 106

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 77 is 7 x 11

Prime Factorization of 106 is 2 x 53

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(798, 690) = 91770

GCD(798, 690) = ( 798 x 690 ) / 91770

GCD(798, 690) = 550620 / 91770

GCD(798, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 77

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

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

GCD(6, 77) = 462 / 462

GCD(6, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 798, 690, 77, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 182, 77, 682
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• GCD of 319, 647, 86, 468
• GCD of 512, 908, 65, 647
• GCD of 943, 217, 97, 308

1. What is the GCD of 798, 690, 77, 106?

GCD of 798, 690, 77, 106 is 1

2. Where do I get the detailed procedure to find GCD of 798, 690, 77, 106?

You can find a detailed procedure to find GCD of 798, 690, 77, 106 on our page.

3. How to find GCD of 798, 690, 77, 106 on a calculator?

You can find the GCD of 798, 690, 77, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.