GCD of 980, 474, 265, 328 Calculator

Given Input numbers are 980, 474, 265, 328

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 980, 474, 265, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 474, 265, 328 is 1.

Therefore, GCD of numbers 980, 474, 265, 328 is 1

Given Input Data is 980, 474, 265, 328

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 265 is 5 x 53

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(980, 474) = 232260

GCD(980, 474) = ( 980 x 474 ) / 232260

GCD(980, 474) = 464520 / 232260

GCD(980, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 980, 474, 265, 328 is 1

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1. What is the GCD of 980, 474, 265, 328?

GCD of 980, 474, 265, 328 is 1

2. Where do I get the detailed procedure to find GCD of 980, 474, 265, 328?

You can find a detailed procedure to find GCD of 980, 474, 265, 328 on our page.

3. How to find GCD of 980, 474, 265, 328 on a calculator?

You can find the GCD of 980, 474, 265, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.