GCD of 47, 291, 748, 280 Calculator

Given Input numbers are 47, 291, 748, 280

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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 47, 291, 748, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 291, 748, 280 is 1.

Therefore, GCD of numbers 47, 291, 748, 280 is 1

Given Input Data is 47, 291, 748, 280

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

Prime Factorization of 47 is 47

Prime Factorization of 291 is 3 x 97

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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, 291) = 13677

GCD(47, 291) = ( 47 x 291 ) / 13677

GCD(47, 291) = 13677 / 13677

GCD(47, 291) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 47, 291, 748, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 182, 718, 583
• GCD of 97, 700, 888, 866
• GCD of 10, 290, 351, 516
• GCD of 73, 199, 824, 358
• GCD of 10, 247, 797, 502

1. What is the GCD of 47, 291, 748, 280?

GCD of 47, 291, 748, 280 is 1

2. Where do I get the detailed procedure to find GCD of 47, 291, 748, 280?

You can find a detailed procedure to find GCD of 47, 291, 748, 280 on our page.

3. How to find GCD of 47, 291, 748, 280 on a calculator?

You can find the GCD of 47, 291, 748, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.