GCD of 313, 980, 100, 800 Calculator

Given Input numbers are 313, 980, 100, 800

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 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 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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 313, 980, 100, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 980, 100, 800 is 1.

Therefore, GCD of numbers 313, 980, 100, 800 is 1

Given Input Data is 313, 980, 100, 800

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

Prime Factorization of 313 is 313

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

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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, 980) = 306740

GCD(313, 980) = ( 313 x 980 ) / 306740

GCD(313, 980) = 306740 / 306740

GCD(313, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 313, 980, 100, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 782, 249, 473
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• GCD of 882, 824, 939, 963
• GCD of 980, 630, 671, 178
• GCD of 337, 153, 271, 105

1. What is the GCD of 313, 980, 100, 800?

GCD of 313, 980, 100, 800 is 1

2. Where do I get the detailed procedure to find GCD of 313, 980, 100, 800?

You can find a detailed procedure to find GCD of 313, 980, 100, 800 on our page.

3. How to find GCD of 313, 980, 100, 800 on a calculator?

You can find the GCD of 313, 980, 100, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.