GCD of 976, 276, 34, 542 Calculator

Given Input numbers are 976, 276, 34, 542

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 976, 276, 34, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 276, 34, 542 is 2.

Therefore, GCD of numbers 976, 276, 34, 542 is 2

Given Input Data is 976, 276, 34, 542

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 34 is 2 x 17

Prime Factorization of 542 is 2 x 271

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(976, 276) = 67344

GCD(976, 276) = ( 976 x 276 ) / 67344

GCD(976, 276) = 269376 / 67344

GCD(976, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 976, 276, 34, 542 is 2

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1. What is the GCD of 976, 276, 34, 542?

GCD of 976, 276, 34, 542 is 2

2. Where do I get the detailed procedure to find GCD of 976, 276, 34, 542?

You can find a detailed procedure to find GCD of 976, 276, 34, 542 on our page.

3. How to find GCD of 976, 276, 34, 542 on a calculator?

You can find the GCD of 976, 276, 34, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.