GCD of 276, 992, 54, 772 Calculator

Given Input numbers are 276, 992, 54, 772

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

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 276, 992, 54, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 992, 54, 772 is 2.

Therefore, GCD of numbers 276, 992, 54, 772 is 2

Given Input Data is 276, 992, 54, 772

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

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 772 is 2 x 2 x 193

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(276, 992) = 68448

GCD(276, 992) = ( 276 x 992 ) / 68448

GCD(276, 992) = 273792 / 68448

GCD(276, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 276, 992, 54, 772 is 2

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1. What is the GCD of 276, 992, 54, 772?

GCD of 276, 992, 54, 772 is 2

2. Where do I get the detailed procedure to find GCD of 276, 992, 54, 772?

You can find a detailed procedure to find GCD of 276, 992, 54, 772 on our page.

3. How to find GCD of 276, 992, 54, 772 on a calculator?

You can find the GCD of 276, 992, 54, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.