GCD of 480, 974, 650, 221 Calculator

Given Input numbers are 480, 974, 650, 221

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 480, 974, 650, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 974, 650, 221 is 1.

Therefore, GCD of numbers 480, 974, 650, 221 is 1

Given Input Data is 480, 974, 650, 221

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 974 is 2 x 487

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 221 is 13 x 17

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, 974) = 233760

GCD(480, 974) = ( 480 x 974 ) / 233760

GCD(480, 974) = 467520 / 233760

GCD(480, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 480, 974, 650, 221 is 1

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1. What is the GCD of 480, 974, 650, 221?

GCD of 480, 974, 650, 221 is 1

2. Where do I get the detailed procedure to find GCD of 480, 974, 650, 221?

You can find a detailed procedure to find GCD of 480, 974, 650, 221 on our page.

3. How to find GCD of 480, 974, 650, 221 on a calculator?

You can find the GCD of 480, 974, 650, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.