GCD of 275, 820, 47, 954 Calculator

Given Input numbers are 275, 820, 47, 954

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 47

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

1, 47

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 275, 820, 47, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 820, 47, 954 is 1.

Therefore, GCD of numbers 275, 820, 47, 954 is 1

Given Input Data is 275, 820, 47, 954

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 47 is 47

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(275, 820) = 45100

GCD(275, 820) = ( 275 x 820 ) / 45100

GCD(275, 820) = 225500 / 45100

GCD(275, 820) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 47

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

LCM(5, 47) = 235

GCD(5, 47) = ( 5 x 47 ) / 235

GCD(5, 47) = 235 / 235

GCD(5, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 275, 820, 47, 954 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 484, 49, 658
• GCD of 524, 621, 21, 949
• GCD of 364, 221, 95, 334
• GCD of 422, 880, 42, 232
• GCD of 615, 309, 20, 122

1. What is the GCD of 275, 820, 47, 954?

GCD of 275, 820, 47, 954 is 1

2. Where do I get the detailed procedure to find GCD of 275, 820, 47, 954?

You can find a detailed procedure to find GCD of 275, 820, 47, 954 on our page.

3. How to find GCD of 275, 820, 47, 954 on a calculator?

You can find the GCD of 275, 820, 47, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.