GCD of 457, 970, 870, 355 Calculator

Given Input numbers are 457, 970, 870, 355

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 457, 970, 870, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 970, 870, 355 is 1.

Therefore, GCD of numbers 457, 970, 870, 355 is 1

Given Input Data is 457, 970, 870, 355

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

Prime Factorization of 457 is 457

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 355 is 5 x 71

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(457, 970) = 443290

GCD(457, 970) = ( 457 x 970 ) / 443290

GCD(457, 970) = 443290 / 443290

GCD(457, 970) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 457, 970, 870, 355 is 1

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1. What is the GCD of 457, 970, 870, 355?

GCD of 457, 970, 870, 355 is 1

2. Where do I get the detailed procedure to find GCD of 457, 970, 870, 355?

You can find a detailed procedure to find GCD of 457, 970, 870, 355 on our page.

3. How to find GCD of 457, 970, 870, 355 on a calculator?

You can find the GCD of 457, 970, 870, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.