GCD of 220, 816, 671, 748 Calculator

Given Input numbers are 220, 816, 671, 748

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 220, 816, 671, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 816, 671, 748 is 1.

Therefore, GCD of numbers 220, 816, 671, 748 is 1

Given Input Data is 220, 816, 671, 748

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 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 671 is 11 x 61

Prime Factorization of 748 is 2 x 2 x 11 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(220, 816) = 44880

GCD(220, 816) = ( 220 x 816 ) / 44880

GCD(220, 816) = 179520 / 44880

GCD(220, 816) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 671

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

LCM(4, 671) = 2684

GCD(4, 671) = ( 4 x 671 ) / 2684

GCD(4, 671) = 2684 / 2684

GCD(4, 671) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 220, 816, 671, 748 is 1

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1. What is the GCD of 220, 816, 671, 748?

GCD of 220, 816, 671, 748 is 1

2. Where do I get the detailed procedure to find GCD of 220, 816, 671, 748?

You can find a detailed procedure to find GCD of 220, 816, 671, 748 on our page.

3. How to find GCD of 220, 816, 671, 748 on a calculator?

You can find the GCD of 220, 816, 671, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.