GCD of 355, 458, 19, 980 Calculator

Given Input numbers are 355, 458, 19, 980

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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

Greatest Common Divisior

We found the divisors of 355, 458, 19, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 458, 19, 980 is 1.

Therefore, GCD of numbers 355, 458, 19, 980 is 1

Given Input Data is 355, 458, 19, 980

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 458 is 2 x 229

Prime Factorization of 19 is 19

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

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(355, 458) = 162590

GCD(355, 458) = ( 355 x 458 ) / 162590

GCD(355, 458) = 162590 / 162590

GCD(355, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

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

GCD of 355, 458, 19, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 416, 48, 109
• GCD of 218, 772, 70, 466
• GCD of 278, 438, 87, 667
• GCD of 723, 370, 19, 888
• GCD of 358, 963, 85, 987

1. What is the GCD of 355, 458, 19, 980?

GCD of 355, 458, 19, 980 is 1

2. Where do I get the detailed procedure to find GCD of 355, 458, 19, 980?

You can find a detailed procedure to find GCD of 355, 458, 19, 980 on our page.

3. How to find GCD of 355, 458, 19, 980 on a calculator?

You can find the GCD of 355, 458, 19, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.