GCD of 280, 954, 853, 831 Calculator

Given Input numbers are 280, 954, 853, 831

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

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

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 280, 954, 853, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 954, 853, 831 is 1.

Therefore, GCD of numbers 280, 954, 853, 831 is 1

Given Input Data is 280, 954, 853, 831

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

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

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

Prime Factorization of 853 is 853

Prime Factorization of 831 is 3 x 277

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(280, 954) = 133560

GCD(280, 954) = ( 280 x 954 ) / 133560

GCD(280, 954) = 267120 / 133560

GCD(280, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 280, 954, 853, 831 is 1

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1. What is the GCD of 280, 954, 853, 831?

GCD of 280, 954, 853, 831 is 1

2. Where do I get the detailed procedure to find GCD of 280, 954, 853, 831?

You can find a detailed procedure to find GCD of 280, 954, 853, 831 on our page.

3. How to find GCD of 280, 954, 853, 831 on a calculator?

You can find the GCD of 280, 954, 853, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.