GCD of 921, 774, 948, 267 Calculator

Given Input numbers are 921, 774, 948, 267

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 921, 774, 948, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 774, 948, 267 is 3.

Therefore, GCD of numbers 921, 774, 948, 267 is 3

Given Input Data is 921, 774, 948, 267

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 774 is 2 x 3 x 3 x 43

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

Prime Factorization of 267 is 3 x 89

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(921, 774) = 237618

GCD(921, 774) = ( 921 x 774 ) / 237618

GCD(921, 774) = 712854 / 237618

GCD(921, 774) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 948

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

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

GCD(3, 948) = 2844 / 948

GCD(3, 948) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

GCD of 921, 774, 948, 267 is 3

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1. What is the GCD of 921, 774, 948, 267?

GCD of 921, 774, 948, 267 is 3

2. Where do I get the detailed procedure to find GCD of 921, 774, 948, 267?

You can find a detailed procedure to find GCD of 921, 774, 948, 267 on our page.

3. How to find GCD of 921, 774, 948, 267 on a calculator?

You can find the GCD of 921, 774, 948, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.