GCD of 276, 708, 948, 279 Calculator

Given Input numbers are 276, 708, 948, 279

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 276, 708, 948, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 708, 948, 279 is 3.

Therefore, GCD of numbers 276, 708, 948, 279 is 3

Given Input Data is 276, 708, 948, 279

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 279 is 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 708) = 16284

GCD(276, 708) = ( 276 x 708 ) / 16284

GCD(276, 708) = 195408 / 16284

GCD(276, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 948

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

LCM(12, 948) = 948

GCD(12, 948) = ( 12 x 948 ) / 948

GCD(12, 948) = 11376 / 948

GCD(12, 948) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 279

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

LCM(12, 279) = 1116

GCD(12, 279) = ( 12 x 279 ) / 1116

GCD(12, 279) = 3348 / 1116

GCD(12, 279) = 3

GCD of 276, 708, 948, 279 is 3

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1. What is the GCD of 276, 708, 948, 279?

GCD of 276, 708, 948, 279 is 3

2. Where do I get the detailed procedure to find GCD of 276, 708, 948, 279?

You can find a detailed procedure to find GCD of 276, 708, 948, 279 on our page.

3. How to find GCD of 276, 708, 948, 279 on a calculator?

You can find the GCD of 276, 708, 948, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.