GCD of 271, 844, 45, 120 Calculator

Given Input numbers are 271, 844, 45, 120

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 271, 844, 45, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 844, 45, 120 is 1.

Therefore, GCD of numbers 271, 844, 45, 120 is 1

Given Input Data is 271, 844, 45, 120

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

Prime Factorization of 271 is 271

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(271, 844) = 228724

GCD(271, 844) = ( 271 x 844 ) / 228724

GCD(271, 844) = 228724 / 228724

GCD(271, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 271, 844, 45, 120 is 1

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1. What is the GCD of 271, 844, 45, 120?

GCD of 271, 844, 45, 120 is 1

2. Where do I get the detailed procedure to find GCD of 271, 844, 45, 120?

You can find a detailed procedure to find GCD of 271, 844, 45, 120 on our page.

3. How to find GCD of 271, 844, 45, 120 on a calculator?

You can find the GCD of 271, 844, 45, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.