GCD of 319, 434, 980, 241 Calculator

Given Input numbers are 319, 434, 980, 241

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 319, 434, 980, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 434, 980, 241 is 1.

Therefore, GCD of numbers 319, 434, 980, 241 is 1

Given Input Data is 319, 434, 980, 241

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 434 is 2 x 7 x 31

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

Prime Factorization of 241 is 241

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(319, 434) = 138446

GCD(319, 434) = ( 319 x 434 ) / 138446

GCD(319, 434) = 138446 / 138446

GCD(319, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 319, 434, 980, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 384, 495, 621
• GCD of 157, 509, 736, 899
• GCD of 979, 839, 686, 999
• GCD of 247, 814, 106, 840
• GCD of 751, 242, 817, 952

1. What is the GCD of 319, 434, 980, 241?

GCD of 319, 434, 980, 241 is 1

2. Where do I get the detailed procedure to find GCD of 319, 434, 980, 241?

You can find a detailed procedure to find GCD of 319, 434, 980, 241 on our page.

3. How to find GCD of 319, 434, 980, 241 on a calculator?

You can find the GCD of 319, 434, 980, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.