GCD of 657, 936, 921, 771 Calculator

Given Input numbers are 657, 936, 921, 771

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 921

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

1, 3, 307, 921

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 657, 936, 921, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 936, 921, 771 is 3.

Therefore, GCD of numbers 657, 936, 921, 771 is 3

Given Input Data is 657, 936, 921, 771

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 921 is 3 x 307

Prime Factorization of 771 is 3 x 257

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(657, 936) = 68328

GCD(657, 936) = ( 657 x 936 ) / 68328

GCD(657, 936) = 614952 / 68328

GCD(657, 936) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 921

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

LCM(9, 921) = 2763

GCD(9, 921) = ( 9 x 921 ) / 2763

GCD(9, 921) = 8289 / 2763

GCD(9, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 771

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

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

GCD(3, 771) = 2313 / 771

GCD(3, 771) = 3

GCD of 657, 936, 921, 771 is 3

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1. What is the GCD of 657, 936, 921, 771?

GCD of 657, 936, 921, 771 is 3

2. Where do I get the detailed procedure to find GCD of 657, 936, 921, 771?

You can find a detailed procedure to find GCD of 657, 936, 921, 771 on our page.

3. How to find GCD of 657, 936, 921, 771 on a calculator?

You can find the GCD of 657, 936, 921, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.