GCD of 844, 455, 978, 114 Calculator

Given Input numbers are 844, 455, 978, 114

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

Divisors of 844

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

1, 2, 4, 211, 422, 844

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 844, 455, 978, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 455, 978, 114 is 1.

Therefore, GCD of numbers 844, 455, 978, 114 is 1

Given Input Data is 844, 455, 978, 114

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 114 is 2 x 3 x 19

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(844, 455) = 384020

GCD(844, 455) = ( 844 x 455 ) / 384020

GCD(844, 455) = 384020 / 384020

GCD(844, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 844, 455, 978, 114 is 1

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1. What is the GCD of 844, 455, 978, 114?

GCD of 844, 455, 978, 114 is 1

2. Where do I get the detailed procedure to find GCD of 844, 455, 978, 114?

You can find a detailed procedure to find GCD of 844, 455, 978, 114 on our page.

3. How to find GCD of 844, 455, 978, 114 on a calculator?

You can find the GCD of 844, 455, 978, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.