GCD of 298, 980, 160, 285 Calculator

Given Input numbers are 298, 980, 160, 285

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 298, 980, 160, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 980, 160, 285 is 1.

Therefore, GCD of numbers 298, 980, 160, 285 is 1

Given Input Data is 298, 980, 160, 285

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

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 285 is 3 x 5 x 19

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(298, 980) = 146020

GCD(298, 980) = ( 298 x 980 ) / 146020

GCD(298, 980) = 292040 / 146020

GCD(298, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

GCD of 298, 980, 160, 285 is 1

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1. What is the GCD of 298, 980, 160, 285?

GCD of 298, 980, 160, 285 is 1

2. Where do I get the detailed procedure to find GCD of 298, 980, 160, 285?

You can find a detailed procedure to find GCD of 298, 980, 160, 285 on our page.

3. How to find GCD of 298, 980, 160, 285 on a calculator?

You can find the GCD of 298, 980, 160, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.