GCD of 724, 758, 262 Calculator

Given Input numbers are 724, 758, 262

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 724, 758, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 758, 262 is 2.

Therefore, GCD of numbers 724, 758, 262 is 2

Given Input Data is 724, 758, 262

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 758 is 2 x 379

Prime Factorization of 262 is 2 x 131

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(724, 758) = 274396

GCD(724, 758) = ( 724 x 758 ) / 274396

GCD(724, 758) = 548792 / 274396

GCD(724, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

GCD of 724, 758, 262 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 570, 157
• GCD of 446, 294, 699
• GCD of 842, 253, 694
• GCD of 208, 414, 696
• GCD of 719, 235, 106

1. What is the GCD of 724, 758, 262?

GCD of 724, 758, 262 is 2

2. Where do I get the detailed procedure to find GCD of 724, 758, 262?

You can find a detailed procedure to find GCD of 724, 758, 262 on our page.

3. How to find GCD of 724, 758, 262 on a calculator?

You can find the GCD of 724, 758, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.