GCD of 119, 802, 257, 202 Calculator

Given Input numbers are 119, 802, 257, 202

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 202

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

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 119, 802, 257, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 802, 257, 202 is 1.

Therefore, GCD of numbers 119, 802, 257, 202 is 1

Given Input Data is 119, 802, 257, 202

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 802 is 2 x 401

Prime Factorization of 257 is 257

Prime Factorization of 202 is 2 x 101

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(119, 802) = 95438

GCD(119, 802) = ( 119 x 802 ) / 95438

GCD(119, 802) = 95438 / 95438

GCD(119, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 119, 802, 257, 202 is 1

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1. What is the GCD of 119, 802, 257, 202?

GCD of 119, 802, 257, 202 is 1

2. Where do I get the detailed procedure to find GCD of 119, 802, 257, 202?

You can find a detailed procedure to find GCD of 119, 802, 257, 202 on our page.

3. How to find GCD of 119, 802, 257, 202 on a calculator?

You can find the GCD of 119, 802, 257, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.