GCD of 954, 852, 939, 862 Calculator

Given Input numbers are 954, 852, 939, 862

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

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 954, 852, 939, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 852, 939, 862 is 1.

Therefore, GCD of numbers 954, 852, 939, 862 is 1

Given Input Data is 954, 852, 939, 862

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

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 939 is 3 x 313

Prime Factorization of 862 is 2 x 431

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(954, 852) = 135468

GCD(954, 852) = ( 954 x 852 ) / 135468

GCD(954, 852) = 812808 / 135468

GCD(954, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 939

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

LCM(6, 939) = 1878

GCD(6, 939) = ( 6 x 939 ) / 1878

GCD(6, 939) = 5634 / 1878

GCD(6, 939) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 862

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

LCM(3, 862) = 2586

GCD(3, 862) = ( 3 x 862 ) / 2586

GCD(3, 862) = 2586 / 2586

GCD(3, 862) = 1

GCD of 954, 852, 939, 862 is 1

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1. What is the GCD of 954, 852, 939, 862?

GCD of 954, 852, 939, 862 is 1

2. Where do I get the detailed procedure to find GCD of 954, 852, 939, 862?

You can find a detailed procedure to find GCD of 954, 852, 939, 862 on our page.

3. How to find GCD of 954, 852, 939, 862 on a calculator?

You can find the GCD of 954, 852, 939, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.