GCD of 542, 954, 960 Calculator

Given Input numbers are 542, 954, 960

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 542, 954, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 954, 960 is 2.

Therefore, GCD of numbers 542, 954, 960 is 2

Given Input Data is 542, 954, 960

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

Prime Factorization of 542 is 2 x 271

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(542, 954) = 258534

GCD(542, 954) = ( 542 x 954 ) / 258534

GCD(542, 954) = 517068 / 258534

GCD(542, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 542, 954, 960 is 2

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1. What is the GCD of 542, 954, 960?

GCD of 542, 954, 960 is 2

2. Where do I get the detailed procedure to find GCD of 542, 954, 960?

You can find a detailed procedure to find GCD of 542, 954, 960 on our page.

3. How to find GCD of 542, 954, 960 on a calculator?

You can find the GCD of 542, 954, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.