GCD of 413, 980, 14, 883 Calculator

Given Input numbers are 413, 980, 14, 883

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Greatest Common Divisior

We found the divisors of 413, 980, 14, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 980, 14, 883 is 1.

Therefore, GCD of numbers 413, 980, 14, 883 is 1

Given Input Data is 413, 980, 14, 883

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

Prime Factorization of 413 is 7 x 59

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 883 is 883

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(413, 980) = 57820

GCD(413, 980) = ( 413 x 980 ) / 57820

GCD(413, 980) = 404740 / 57820

GCD(413, 980) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 14

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

LCM(7, 14) = 14

GCD(7, 14) = ( 7 x 14 ) / 14

GCD(7, 14) = 98 / 14

GCD(7, 14) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 883

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

LCM(7, 883) = 6181

GCD(7, 883) = ( 7 x 883 ) / 6181

GCD(7, 883) = 6181 / 6181

GCD(7, 883) = 1

GCD of 413, 980, 14, 883 is 1

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• GCD of 414, 564, 42, 378
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1. What is the GCD of 413, 980, 14, 883?

GCD of 413, 980, 14, 883 is 1

2. Where do I get the detailed procedure to find GCD of 413, 980, 14, 883?

You can find a detailed procedure to find GCD of 413, 980, 14, 883 on our page.

3. How to find GCD of 413, 980, 14, 883 on a calculator?

You can find the GCD of 413, 980, 14, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.