GCD of 229, 210, 978, 490 Calculator

Given Input numbers are 229, 210, 978, 490

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 229, 210, 978, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 210, 978, 490 is 1.

Therefore, GCD of numbers 229, 210, 978, 490 is 1

Given Input Data is 229, 210, 978, 490

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

Prime Factorization of 229 is 229

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 490 is 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(229, 210) = 48090

GCD(229, 210) = ( 229 x 210 ) / 48090

GCD(229, 210) = 48090 / 48090

GCD(229, 210) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 229, 210, 978, 490 is 1

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1. What is the GCD of 229, 210, 978, 490?

GCD of 229, 210, 978, 490 is 1

2. Where do I get the detailed procedure to find GCD of 229, 210, 978, 490?

You can find a detailed procedure to find GCD of 229, 210, 978, 490 on our page.

3. How to find GCD of 229, 210, 978, 490 on a calculator?

You can find the GCD of 229, 210, 978, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.