GCD of 970, 348, 583, 257 Calculator

Given Input numbers are 970, 348, 583, 257

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 257

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

1, 257

Greatest Common Divisior

We found the divisors of 970, 348, 583, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 348, 583, 257 is 1.

Therefore, GCD of numbers 970, 348, 583, 257 is 1

Given Input Data is 970, 348, 583, 257

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

Prime Factorization of 970 is 2 x 5 x 97

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 257 is 257

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(970, 348) = 168780

GCD(970, 348) = ( 970 x 348 ) / 168780

GCD(970, 348) = 337560 / 168780

GCD(970, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

Step3:

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

GCD of 970, 348, 583, 257 is 1

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1. What is the GCD of 970, 348, 583, 257?

GCD of 970, 348, 583, 257 is 1

2. Where do I get the detailed procedure to find GCD of 970, 348, 583, 257?

You can find a detailed procedure to find GCD of 970, 348, 583, 257 on our page.

3. How to find GCD of 970, 348, 583, 257 on a calculator?

You can find the GCD of 970, 348, 583, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.