GCD of 145, 980, 520, 316 Calculator

Given Input numbers are 145, 980, 520, 316

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 145, 980, 520, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 980, 520, 316 is 1.

Therefore, GCD of numbers 145, 980, 520, 316 is 1

Given Input Data is 145, 980, 520, 316

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

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 316 is 2 x 2 x 79

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(145, 980) = 28420

GCD(145, 980) = ( 145 x 980 ) / 28420

GCD(145, 980) = 142100 / 28420

GCD(145, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 520

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

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

GCD(5, 520) = 2600 / 520

GCD(5, 520) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 316

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

LCM(5, 316) = 1580

GCD(5, 316) = ( 5 x 316 ) / 1580

GCD(5, 316) = 1580 / 1580

GCD(5, 316) = 1

GCD of 145, 980, 520, 316 is 1

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1. What is the GCD of 145, 980, 520, 316?

GCD of 145, 980, 520, 316 is 1

2. Where do I get the detailed procedure to find GCD of 145, 980, 520, 316?

You can find a detailed procedure to find GCD of 145, 980, 520, 316 on our page.

3. How to find GCD of 145, 980, 520, 316 on a calculator?

You can find the GCD of 145, 980, 520, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.