GCD of 522, 958, 560, 954 Calculator

Given Input numbers are 522, 958, 560, 954

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

Greatest Common Divisior

We found the divisors of 522, 958, 560, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 958, 560, 954 is 2.

Therefore, GCD of numbers 522, 958, 560, 954 is 2

Given Input Data is 522, 958, 560, 954

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 958 is 2 x 479

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(522, 958) = 250038

GCD(522, 958) = ( 522 x 958 ) / 250038

GCD(522, 958) = 500076 / 250038

GCD(522, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 522, 958, 560, 954 is 2

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1. What is the GCD of 522, 958, 560, 954?

GCD of 522, 958, 560, 954 is 2

2. Where do I get the detailed procedure to find GCD of 522, 958, 560, 954?

You can find a detailed procedure to find GCD of 522, 958, 560, 954 on our page.

3. How to find GCD of 522, 958, 560, 954 on a calculator?

You can find the GCD of 522, 958, 560, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.