GCD of 231, 996, 343, 701 Calculator

Given Input numbers are 231, 996, 343, 701

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 231, 996, 343, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 996, 343, 701 is 1.

Therefore, GCD of numbers 231, 996, 343, 701 is 1

Given Input Data is 231, 996, 343, 701

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 701 is 701

The above numbers do not have any common prime factor. So GCD is 1

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(231, 996) = 76692

GCD(231, 996) = ( 231 x 996 ) / 76692

GCD(231, 996) = 230076 / 76692

GCD(231, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 231, 996, 343, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 967, 316, 775
• GCD of 698, 127, 533, 765
• GCD of 555, 475, 884, 862
• GCD of 915, 224, 896, 931
• GCD of 995, 744, 543, 569

1. What is the GCD of 231, 996, 343, 701?

GCD of 231, 996, 343, 701 is 1

2. Where do I get the detailed procedure to find GCD of 231, 996, 343, 701?

You can find a detailed procedure to find GCD of 231, 996, 343, 701 on our page.

3. How to find GCD of 231, 996, 343, 701 on a calculator?

You can find the GCD of 231, 996, 343, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.