GCD of 220, 171, 88, 123 Calculator

Given Input numbers are 220, 171, 88, 123

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 220, 171, 88, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 171, 88, 123 is 1.

Therefore, GCD of numbers 220, 171, 88, 123 is 1

Given Input Data is 220, 171, 88, 123

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 171 is 3 x 3 x 19

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 123 is 3 x 41

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, 171) = 37620

GCD(220, 171) = ( 220 x 171 ) / 37620

GCD(220, 171) = 37620 / 37620

GCD(220, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 220, 171, 88, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 324, 95, 694
• GCD of 574, 989, 61, 989
• GCD of 647, 871, 44, 232
• GCD of 298, 528, 55, 908
• GCD of 919, 177, 19, 113

1. What is the GCD of 220, 171, 88, 123?

GCD of 220, 171, 88, 123 is 1

2. Where do I get the detailed procedure to find GCD of 220, 171, 88, 123?

You can find a detailed procedure to find GCD of 220, 171, 88, 123 on our page.

3. How to find GCD of 220, 171, 88, 123 on a calculator?

You can find the GCD of 220, 171, 88, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.