GCD of 980, 512, 366, 423 Calculator

Given Input numbers are 980, 512, 366, 423

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

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 980, 512, 366, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 512, 366, 423 is 1.

Therefore, GCD of numbers 980, 512, 366, 423 is 1

Given Input Data is 980, 512, 366, 423

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

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 423 is 3 x 3 x 47

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(980, 512) = 125440

GCD(980, 512) = ( 980 x 512 ) / 125440

GCD(980, 512) = 501760 / 125440

GCD(980, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 366

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

LCM(4, 366) = 732

GCD(4, 366) = ( 4 x 366 ) / 732

GCD(4, 366) = 1464 / 732

GCD(4, 366) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 980, 512, 366, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 358, 954, 423
• GCD of 522, 116, 605, 625
• GCD of 943, 955, 521, 878
• GCD of 432, 893, 256, 728
• GCD of 373, 223, 273, 545

1. What is the GCD of 980, 512, 366, 423?

GCD of 980, 512, 366, 423 is 1

2. Where do I get the detailed procedure to find GCD of 980, 512, 366, 423?

You can find a detailed procedure to find GCD of 980, 512, 366, 423 on our page.

3. How to find GCD of 980, 512, 366, 423 on a calculator?

You can find the GCD of 980, 512, 366, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.