GCD of 257, 989, 602, 348 Calculator

Given Input numbers are 257, 989, 602, 348

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

Divisors of 257

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

1, 257

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 257, 989, 602, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 989, 602, 348 is 1.

Therefore, GCD of numbers 257, 989, 602, 348 is 1

Given Input Data is 257, 989, 602, 348

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

Prime Factorization of 257 is 257

Prime Factorization of 989 is 23 x 43

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(257, 989) = 254173

GCD(257, 989) = ( 257 x 989 ) / 254173

GCD(257, 989) = 254173 / 254173

GCD(257, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 257, 989, 602, 348 is 1

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1. What is the GCD of 257, 989, 602, 348?

GCD of 257, 989, 602, 348 is 1

2. Where do I get the detailed procedure to find GCD of 257, 989, 602, 348?

You can find a detailed procedure to find GCD of 257, 989, 602, 348 on our page.

3. How to find GCD of 257, 989, 602, 348 on a calculator?

You can find the GCD of 257, 989, 602, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.