GCD of 231, 708, 762, 726 Calculator

Given Input numbers are 231, 708, 762, 726

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 231, 708, 762, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 708, 762, 726 is 3.

Therefore, GCD of numbers 231, 708, 762, 726 is 3

Given Input Data is 231, 708, 762, 726

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(231, 708) = 54516

GCD(231, 708) = ( 231 x 708 ) / 54516

GCD(231, 708) = 163548 / 54516

GCD(231, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 762

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

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

GCD(3, 762) = 2286 / 762

GCD(3, 762) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 726

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

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

GCD(3, 726) = 2178 / 726

GCD(3, 726) = 3

GCD of 231, 708, 762, 726 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 321, 927, 296
• GCD of 573, 950, 427, 855
• GCD of 742, 439, 159, 106
• GCD of 327, 953, 967, 729
• GCD of 566, 292, 794, 860

1. What is the GCD of 231, 708, 762, 726?

GCD of 231, 708, 762, 726 is 3

2. Where do I get the detailed procedure to find GCD of 231, 708, 762, 726?

You can find a detailed procedure to find GCD of 231, 708, 762, 726 on our page.

3. How to find GCD of 231, 708, 762, 726 on a calculator?

You can find the GCD of 231, 708, 762, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.