GCD of 921, 753, 57, 717 Calculator

Given Input numbers are 921, 753, 57, 717

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 921, 753, 57, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 753, 57, 717 is 3.

Therefore, GCD of numbers 921, 753, 57, 717 is 3

Given Input Data is 921, 753, 57, 717

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 753 is 3 x 251

Prime Factorization of 57 is 3 x 19

Prime Factorization of 717 is 3 x 239

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, 753) = 231171

GCD(921, 753) = ( 921 x 753 ) / 231171

GCD(921, 753) = 693513 / 231171

GCD(921, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

GCD of 921, 753, 57, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 972, 23, 769
• GCD of 474, 149, 83, 393
• GCD of 735, 667, 99, 477
• GCD of 366, 399, 40, 745
• GCD of 571, 615, 18, 332

1. What is the GCD of 921, 753, 57, 717?

GCD of 921, 753, 57, 717 is 3

2. Where do I get the detailed procedure to find GCD of 921, 753, 57, 717?

You can find a detailed procedure to find GCD of 921, 753, 57, 717 on our page.

3. How to find GCD of 921, 753, 57, 717 on a calculator?

You can find the GCD of 921, 753, 57, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.