GCD of 947, 721, 48, 220 Calculator

Given Input numbers are 947, 721, 48, 220

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Greatest Common Divisior

We found the divisors of 947, 721, 48, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 721, 48, 220 is 1.

Therefore, GCD of numbers 947, 721, 48, 220 is 1

Given Input Data is 947, 721, 48, 220

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

Prime Factorization of 947 is 947

Prime Factorization of 721 is 7 x 103

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

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(947, 721) = 682787

GCD(947, 721) = ( 947 x 721 ) / 682787

GCD(947, 721) = 682787 / 682787

GCD(947, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 947, 721, 48, 220 is 1

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1. What is the GCD of 947, 721, 48, 220?

GCD of 947, 721, 48, 220 is 1

2. Where do I get the detailed procedure to find GCD of 947, 721, 48, 220?

You can find a detailed procedure to find GCD of 947, 721, 48, 220 on our page.

3. How to find GCD of 947, 721, 48, 220 on a calculator?

You can find the GCD of 947, 721, 48, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.