GCD of 954, 432, 831, 557 Calculator

Given Input numbers are 954, 432, 831, 557

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 831

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

1, 3, 277, 831

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 954, 432, 831, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 432, 831, 557 is 1.

Therefore, GCD of numbers 954, 432, 831, 557 is 1

Given Input Data is 954, 432, 831, 557

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 831 is 3 x 277

Prime Factorization of 557 is 557

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, 432) = 22896

GCD(954, 432) = ( 954 x 432 ) / 22896

GCD(954, 432) = 412128 / 22896

GCD(954, 432) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 831

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

LCM(18, 831) = 4986

GCD(18, 831) = ( 18 x 831 ) / 4986

GCD(18, 831) = 14958 / 4986

GCD(18, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 557

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

LCM(3, 557) = 1671

GCD(3, 557) = ( 3 x 557 ) / 1671

GCD(3, 557) = 1671 / 1671

GCD(3, 557) = 1

GCD of 954, 432, 831, 557 is 1

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• GCD of 171, 486, 753, 310
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1. What is the GCD of 954, 432, 831, 557?

GCD of 954, 432, 831, 557 is 1

2. Where do I get the detailed procedure to find GCD of 954, 432, 831, 557?

You can find a detailed procedure to find GCD of 954, 432, 831, 557 on our page.

3. How to find GCD of 954, 432, 831, 557 on a calculator?

You can find the GCD of 954, 432, 831, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.