GCD of 693, 104, 98, 462 Calculator

Given Input numbers are 693, 104, 98, 462

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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

Greatest Common Divisior

We found the divisors of 693, 104, 98, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 104, 98, 462 is 1.

Therefore, GCD of numbers 693, 104, 98, 462 is 1

Given Input Data is 693, 104, 98, 462

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 98 is 2 x 7 x 7

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

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(693, 104) = 72072

GCD(693, 104) = ( 693 x 104 ) / 72072

GCD(693, 104) = 72072 / 72072

GCD(693, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 693, 104, 98, 462 is 1

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1. What is the GCD of 693, 104, 98, 462?

GCD of 693, 104, 98, 462 is 1

2. Where do I get the detailed procedure to find GCD of 693, 104, 98, 462?

You can find a detailed procedure to find GCD of 693, 104, 98, 462 on our page.

3. How to find GCD of 693, 104, 98, 462 on a calculator?

You can find the GCD of 693, 104, 98, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.