GCD of 276, 102, 945, 309 Calculator

Given Input numbers are 276, 102, 945, 309

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 276, 102, 945, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 102, 945, 309 is 3.

Therefore, GCD of numbers 276, 102, 945, 309 is 3

Given Input Data is 276, 102, 945, 309

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 102 is 2 x 3 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 309 is 3 x 103

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, 102) = 4692

GCD(276, 102) = ( 276 x 102 ) / 4692

GCD(276, 102) = 28152 / 4692

GCD(276, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 945

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

LCM(6, 945) = 1890

GCD(6, 945) = ( 6 x 945 ) / 1890

GCD(6, 945) = 5670 / 1890

GCD(6, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 309

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

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

GCD(3, 309) = 927 / 309

GCD(3, 309) = 3

GCD of 276, 102, 945, 309 is 3

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1. What is the GCD of 276, 102, 945, 309?

GCD of 276, 102, 945, 309 is 3

2. Where do I get the detailed procedure to find GCD of 276, 102, 945, 309?

You can find a detailed procedure to find GCD of 276, 102, 945, 309 on our page.

3. How to find GCD of 276, 102, 945, 309 on a calculator?

You can find the GCD of 276, 102, 945, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.