GCD of 681, 867, 132, 945 Calculator

Given Input numbers are 681, 867, 132, 945

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

Greatest Common Divisior

We found the divisors of 681, 867, 132, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 867, 132, 945 is 3.

Therefore, GCD of numbers 681, 867, 132, 945 is 3

Given Input Data is 681, 867, 132, 945

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

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(681, 867) = 196809

GCD(681, 867) = ( 681 x 867 ) / 196809

GCD(681, 867) = 590427 / 196809

GCD(681, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

GCD of 681, 867, 132, 945 is 3

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1. What is the GCD of 681, 867, 132, 945?

GCD of 681, 867, 132, 945 is 3

2. Where do I get the detailed procedure to find GCD of 681, 867, 132, 945?

You can find a detailed procedure to find GCD of 681, 867, 132, 945 on our page.

3. How to find GCD of 681, 867, 132, 945 on a calculator?

You can find the GCD of 681, 867, 132, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.