GCD of 220, 354, 20, 184 Calculator

Given Input numbers are 220, 354, 20, 184

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 220, 354, 20, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 354, 20, 184 is 2.

Therefore, GCD of numbers 220, 354, 20, 184 is 2

Given Input Data is 220, 354, 20, 184

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 354 is 2 x 3 x 59

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 354) = 38940

GCD(220, 354) = ( 220 x 354 ) / 38940

GCD(220, 354) = 77880 / 38940

GCD(220, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 220, 354, 20, 184 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 693, 12, 208
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• GCD of 521, 562, 37, 590
• GCD of 567, 867, 14, 658
• GCD of 944, 119, 45, 340

1. What is the GCD of 220, 354, 20, 184?

GCD of 220, 354, 20, 184 is 2

2. Where do I get the detailed procedure to find GCD of 220, 354, 20, 184?

You can find a detailed procedure to find GCD of 220, 354, 20, 184 on our page.

3. How to find GCD of 220, 354, 20, 184 on a calculator?

You can find the GCD of 220, 354, 20, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.