GCD of 480, 890, 49, 359 Calculator

Given Input numbers are 480, 890, 49, 359

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 480, 890, 49, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 890, 49, 359 is 1.

Therefore, GCD of numbers 480, 890, 49, 359 is 1

Given Input Data is 480, 890, 49, 359

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 49 is 7 x 7

Prime Factorization of 359 is 359

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(480, 890) = 42720

GCD(480, 890) = ( 480 x 890 ) / 42720

GCD(480, 890) = 427200 / 42720

GCD(480, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 49

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

LCM(10, 49) = 490

GCD(10, 49) = ( 10 x 49 ) / 490

GCD(10, 49) = 490 / 490

GCD(10, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 480, 890, 49, 359 is 1

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• GCD of 820, 570, 98, 867
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1. What is the GCD of 480, 890, 49, 359?

GCD of 480, 890, 49, 359 is 1

2. Where do I get the detailed procedure to find GCD of 480, 890, 49, 359?

You can find a detailed procedure to find GCD of 480, 890, 49, 359 on our page.

3. How to find GCD of 480, 890, 49, 359 on a calculator?

You can find the GCD of 480, 890, 49, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.