GCD of 370, 259, 100, 521 Calculator

Given Input numbers are 370, 259, 100, 521

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 259

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

1, 7, 37, 259

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 370, 259, 100, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 259, 100, 521 is 1.

Therefore, GCD of numbers 370, 259, 100, 521 is 1

Given Input Data is 370, 259, 100, 521

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 259 is 7 x 37

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 521 is 521

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(370, 259) = 2590

GCD(370, 259) = ( 370 x 259 ) / 2590

GCD(370, 259) = 95830 / 2590

GCD(370, 259) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 100

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

LCM(37, 100) = 3700

GCD(37, 100) = ( 37 x 100 ) / 3700

GCD(37, 100) = 3700 / 3700

GCD(37, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 370, 259, 100, 521 is 1

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1. What is the GCD of 370, 259, 100, 521?

GCD of 370, 259, 100, 521 is 1

2. Where do I get the detailed procedure to find GCD of 370, 259, 100, 521?

You can find a detailed procedure to find GCD of 370, 259, 100, 521 on our page.

3. How to find GCD of 370, 259, 100, 521 on a calculator?

You can find the GCD of 370, 259, 100, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.