GCD of 144, 490, 853, 815 Calculator

Given Input numbers are 144, 490, 853, 815

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 144, 490, 853, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 490, 853, 815 is 1.

Therefore, GCD of numbers 144, 490, 853, 815 is 1

Given Input Data is 144, 490, 853, 815

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 853 is 853

Prime Factorization of 815 is 5 x 163

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(144, 490) = 35280

GCD(144, 490) = ( 144 x 490 ) / 35280

GCD(144, 490) = 70560 / 35280

GCD(144, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 144, 490, 853, 815 is 1

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1. What is the GCD of 144, 490, 853, 815?

GCD of 144, 490, 853, 815 is 1

2. Where do I get the detailed procedure to find GCD of 144, 490, 853, 815?

You can find a detailed procedure to find GCD of 144, 490, 853, 815 on our page.

3. How to find GCD of 144, 490, 853, 815 on a calculator?

You can find the GCD of 144, 490, 853, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.