GCD of 693, 665, 98, 122 Calculator

Given Input numbers are 693, 665, 98, 122

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 693, 665, 98, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 665, 98, 122 is 1.

Therefore, GCD of numbers 693, 665, 98, 122 is 1

Given Input Data is 693, 665, 98, 122

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 665 is 5 x 7 x 19

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 122 is 2 x 61

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, 665) = 65835

GCD(693, 665) = ( 693 x 665 ) / 65835

GCD(693, 665) = 460845 / 65835

GCD(693, 665) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 98

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

LCM(7, 98) = 98

GCD(7, 98) = ( 7 x 98 ) / 98

GCD(7, 98) = 686 / 98

GCD(7, 98) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 122

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

LCM(7, 122) = 854

GCD(7, 122) = ( 7 x 122 ) / 854

GCD(7, 122) = 854 / 854

GCD(7, 122) = 1

GCD of 693, 665, 98, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 763, 36, 171
• GCD of 136, 541, 30, 827
• GCD of 692, 770, 70, 291
• GCD of 872, 689, 79, 574
• GCD of 466, 855, 20, 677

1. What is the GCD of 693, 665, 98, 122?

GCD of 693, 665, 98, 122 is 1

2. Where do I get the detailed procedure to find GCD of 693, 665, 98, 122?

You can find a detailed procedure to find GCD of 693, 665, 98, 122 on our page.

3. How to find GCD of 693, 665, 98, 122 on a calculator?

You can find the GCD of 693, 665, 98, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.