GCD of 931, 831, 954, 914 Calculator

Given Input numbers are 931, 831, 954, 914

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 831

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

1, 3, 277, 831

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 931, 831, 954, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 831, 954, 914 is 1.

Therefore, GCD of numbers 931, 831, 954, 914 is 1

Given Input Data is 931, 831, 954, 914

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 831 is 3 x 277

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

Prime Factorization of 914 is 2 x 457

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(931, 831) = 773661

GCD(931, 831) = ( 931 x 831 ) / 773661

GCD(931, 831) = 773661 / 773661

GCD(931, 831) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 931, 831, 954, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 665, 717, 828
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• GCD of 597, 654, 748, 790
• GCD of 688, 195, 978, 100

1. What is the GCD of 931, 831, 954, 914?

GCD of 931, 831, 954, 914 is 1

2. Where do I get the detailed procedure to find GCD of 931, 831, 954, 914?

You can find a detailed procedure to find GCD of 931, 831, 954, 914 on our page.

3. How to find GCD of 931, 831, 954, 914 on a calculator?

You can find the GCD of 931, 831, 954, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.