GCD of 47, 220, 100, 292 Calculator

Given Input numbers are 47, 220, 100, 292

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 47, 220, 100, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 220, 100, 292 is 1.

Therefore, GCD of numbers 47, 220, 100, 292 is 1

Given Input Data is 47, 220, 100, 292

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

Prime Factorization of 47 is 47

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 292 is 2 x 2 x 73

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(47, 220) = 10340

GCD(47, 220) = ( 47 x 220 ) / 10340

GCD(47, 220) = 10340 / 10340

GCD(47, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 47, 220, 100, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 538, 323, 541
• GCD of 65, 139, 688, 710
• GCD of 51, 617, 899, 378
• GCD of 99, 130, 124, 434
• GCD of 52, 396, 522, 891

1. What is the GCD of 47, 220, 100, 292?

GCD of 47, 220, 100, 292 is 1

2. Where do I get the detailed procedure to find GCD of 47, 220, 100, 292?

You can find a detailed procedure to find GCD of 47, 220, 100, 292 on our page.

3. How to find GCD of 47, 220, 100, 292 on a calculator?

You can find the GCD of 47, 220, 100, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.