GCD of 202, 116, 693, 895 Calculator

Given Input numbers are 202, 116, 693, 895

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 202, 116, 693, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 116, 693, 895 is 1.

Therefore, GCD of numbers 202, 116, 693, 895 is 1

Given Input Data is 202, 116, 693, 895

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 116 is 2 x 2 x 29

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

Prime Factorization of 895 is 5 x 179

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(202, 116) = 11716

GCD(202, 116) = ( 202 x 116 ) / 11716

GCD(202, 116) = 23432 / 11716

GCD(202, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 202, 116, 693, 895 is 1

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1. What is the GCD of 202, 116, 693, 895?

GCD of 202, 116, 693, 895 is 1

2. Where do I get the detailed procedure to find GCD of 202, 116, 693, 895?

You can find a detailed procedure to find GCD of 202, 116, 693, 895 on our page.

3. How to find GCD of 202, 116, 693, 895 on a calculator?

You can find the GCD of 202, 116, 693, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.