GCD of 52, 980, 465, 259 Calculator

Given Input numbers are 52, 980, 465, 259

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 52, 980, 465, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 980, 465, 259 is 1.

Therefore, GCD of numbers 52, 980, 465, 259 is 1

Given Input Data is 52, 980, 465, 259

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

Prime Factorization of 52 is 2 x 2 x 13

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 259 is 7 x 37

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(52, 980) = 12740

GCD(52, 980) = ( 52 x 980 ) / 12740

GCD(52, 980) = 50960 / 12740

GCD(52, 980) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 465

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

LCM(4, 465) = 1860

GCD(4, 465) = ( 4 x 465 ) / 1860

GCD(4, 465) = 1860 / 1860

GCD(4, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 52, 980, 465, 259 is 1

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• GCD of 60, 374, 464, 739
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1. What is the GCD of 52, 980, 465, 259?

GCD of 52, 980, 465, 259 is 1

2. Where do I get the detailed procedure to find GCD of 52, 980, 465, 259?

You can find a detailed procedure to find GCD of 52, 980, 465, 259 on our page.

3. How to find GCD of 52, 980, 465, 259 on a calculator?

You can find the GCD of 52, 980, 465, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.