GCD of 220, 528, 474, 963 Calculator

Given Input numbers are 220, 528, 474, 963

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 220, 528, 474, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 528, 474, 963 is 1.

Therefore, GCD of numbers 220, 528, 474, 963 is 1

Given Input Data is 220, 528, 474, 963

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 963 is 3 x 3 x 107

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(220, 528) = 2640

GCD(220, 528) = ( 220 x 528 ) / 2640

GCD(220, 528) = 116160 / 2640

GCD(220, 528) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 474

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

LCM(44, 474) = 10428

GCD(44, 474) = ( 44 x 474 ) / 10428

GCD(44, 474) = 20856 / 10428

GCD(44, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 220, 528, 474, 963 is 1

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1. What is the GCD of 220, 528, 474, 963?

GCD of 220, 528, 474, 963 is 1

2. Where do I get the detailed procedure to find GCD of 220, 528, 474, 963?

You can find a detailed procedure to find GCD of 220, 528, 474, 963 on our page.

3. How to find GCD of 220, 528, 474, 963 on a calculator?

You can find the GCD of 220, 528, 474, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.