GCD of 970, 436, 676, 459 Calculator

Given Input numbers are 970, 436, 676, 459

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 970, 436, 676, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 436, 676, 459 is 1.

Therefore, GCD of numbers 970, 436, 676, 459 is 1

Given Input Data is 970, 436, 676, 459

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 436 is 2 x 2 x 109

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 436) = 211460

GCD(970, 436) = ( 970 x 436 ) / 211460

GCD(970, 436) = 422920 / 211460

GCD(970, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 970, 436, 676, 459 is 1

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1. What is the GCD of 970, 436, 676, 459?

GCD of 970, 436, 676, 459 is 1

2. Where do I get the detailed procedure to find GCD of 970, 436, 676, 459?

You can find a detailed procedure to find GCD of 970, 436, 676, 459 on our page.

3. How to find GCD of 970, 436, 676, 459 on a calculator?

You can find the GCD of 970, 436, 676, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.