GCD of 45, 980, 454, 309 Calculator

Given Input numbers are 45, 980, 454, 309

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 45, 980, 454, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 980, 454, 309 is 1.

Therefore, GCD of numbers 45, 980, 454, 309 is 1

Given Input Data is 45, 980, 454, 309

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

Prime Factorization of 45 is 3 x 3 x 5

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 309 is 3 x 103

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(45, 980) = 8820

GCD(45, 980) = ( 45 x 980 ) / 8820

GCD(45, 980) = 44100 / 8820

GCD(45, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 454

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

LCM(5, 454) = 2270

GCD(5, 454) = ( 5 x 454 ) / 2270

GCD(5, 454) = 2270 / 2270

GCD(5, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 45, 980, 454, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 210, 151, 449
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• GCD of 72, 154, 783, 715
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• GCD of 71, 552, 939, 837

1. What is the GCD of 45, 980, 454, 309?

GCD of 45, 980, 454, 309 is 1

2. Where do I get the detailed procedure to find GCD of 45, 980, 454, 309?

You can find a detailed procedure to find GCD of 45, 980, 454, 309 on our page.

3. How to find GCD of 45, 980, 454, 309 on a calculator?

You can find the GCD of 45, 980, 454, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.