GCD of 695, 101, 698, 121 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 695, 101, 698, 121 i.e. 1 largest integer that divides all the numbers equally.

GCD of 695, 101, 698, 121 is 1

GCD(695, 101, 698, 121) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 695, 101, 698, 121 is 1

GCD(695, 101, 698, 121) = 1

GCD of 695,101,698,121 Calculator

GCDof 695,101,698,121 is 1

Given Input numbers are 695, 101, 698, 121

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 695, 101, 698, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 101, 698, 121 is 1.

Therefore, GCD of numbers 695, 101, 698, 121 is 1

Finding GCD of 695, 101, 698, 121 using Prime Factorization

Given Input Data is 695, 101, 698, 121

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 101 is 101

Prime Factorization of 698 is 2 x 349

Prime Factorization of 121 is 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 695, 101, 698, 121 using LCM Formula

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(695, 101) = 70195

GCD(695, 101) = ( 695 x 101 ) / 70195

GCD(695, 101) = 70195 / 70195

GCD(695, 101) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 695, 101, 698, 121 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 695, 101, 698, 121

1. What is the GCD of 695, 101, 698, 121?

GCD of 695, 101, 698, 121 is 1


2. Where do I get the detailed procedure to find GCD of 695, 101, 698, 121?

You can find a detailed procedure to find GCD of 695, 101, 698, 121 on our page.


3. How to find GCD of 695, 101, 698, 121 on a calculator?

You can find the GCD of 695, 101, 698, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.