GCD of 313, 521, 889, 145 Calculator

Given Input numbers are 313, 521, 889, 145

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 521

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

1, 521

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 145

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

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 313, 521, 889, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 521, 889, 145 is 1.

Therefore, GCD of numbers 313, 521, 889, 145 is 1

Given Input Data is 313, 521, 889, 145

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

Prime Factorization of 313 is 313

Prime Factorization of 521 is 521

Prime Factorization of 889 is 7 x 127

Prime Factorization of 145 is 5 x 29

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(313, 521) = 163073

GCD(313, 521) = ( 313 x 521 ) / 163073

GCD(313, 521) = 163073 / 163073

GCD(313, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 313, 521, 889, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 609, 819, 322
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• GCD of 901, 598, 330, 119
• GCD of 362, 418, 313, 237

1. What is the GCD of 313, 521, 889, 145?

GCD of 313, 521, 889, 145 is 1

2. Where do I get the detailed procedure to find GCD of 313, 521, 889, 145?

You can find a detailed procedure to find GCD of 313, 521, 889, 145 on our page.

3. How to find GCD of 313, 521, 889, 145 on a calculator?

You can find the GCD of 313, 521, 889, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.