GCD of 291, 957, 831, 240 Calculator

Given Input numbers are 291, 957, 831, 240

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 291, 957, 831, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 957, 831, 240 is 3.

Therefore, GCD of numbers 291, 957, 831, 240 is 3

Given Input Data is 291, 957, 831, 240

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 831 is 3 x 277

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(291, 957) = 92829

GCD(291, 957) = ( 291 x 957 ) / 92829

GCD(291, 957) = 278487 / 92829

GCD(291, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 831

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

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

GCD(3, 831) = 2493 / 831

GCD(3, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 240

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

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

GCD(3, 240) = 720 / 240

GCD(3, 240) = 3

GCD of 291, 957, 831, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 420, 650, 443
• GCD of 519, 545, 333, 689
• GCD of 260, 937, 924, 604
• GCD of 813, 951, 155, 777
• GCD of 436, 652, 272, 234

1. What is the GCD of 291, 957, 831, 240?

GCD of 291, 957, 831, 240 is 3

2. Where do I get the detailed procedure to find GCD of 291, 957, 831, 240?

You can find a detailed procedure to find GCD of 291, 957, 831, 240 on our page.

3. How to find GCD of 291, 957, 831, 240 on a calculator?

You can find the GCD of 291, 957, 831, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.