GCD of 220, 224, 736, 964 Calculator

Given Input numbers are 220, 224, 736, 964

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 220, 224, 736, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 224, 736, 964 is 4.

Therefore, GCD of numbers 220, 224, 736, 964 is 4

Given Input Data is 220, 224, 736, 964

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 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 964 is 2 x 2 x 241

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 224) = 12320

GCD(220, 224) = ( 220 x 224 ) / 12320

GCD(220, 224) = 49280 / 12320

GCD(220, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 736

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

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

GCD(4, 736) = 2944 / 736

GCD(4, 736) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 964

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

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

GCD(4, 964) = 3856 / 964

GCD(4, 964) = 4

GCD of 220, 224, 736, 964 is 4

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1. What is the GCD of 220, 224, 736, 964?

GCD of 220, 224, 736, 964 is 4

2. Where do I get the detailed procedure to find GCD of 220, 224, 736, 964?

You can find a detailed procedure to find GCD of 220, 224, 736, 964 on our page.

3. How to find GCD of 220, 224, 736, 964 on a calculator?

You can find the GCD of 220, 224, 736, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.