GCD of 658, 828, 796, 714 Calculator

Given Input numbers are 658, 828, 796, 714

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 658, 828, 796, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 828, 796, 714 is 2.

Therefore, GCD of numbers 658, 828, 796, 714 is 2

Given Input Data is 658, 828, 796, 714

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(658, 828) = 272412

GCD(658, 828) = ( 658 x 828 ) / 272412

GCD(658, 828) = 544824 / 272412

GCD(658, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 658, 828, 796, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 809, 465, 127
• GCD of 380, 240, 390, 446
• GCD of 461, 468, 255, 914
• GCD of 181, 676, 180, 357
• GCD of 391, 839, 883, 121

1. What is the GCD of 658, 828, 796, 714?

GCD of 658, 828, 796, 714 is 2

2. Where do I get the detailed procedure to find GCD of 658, 828, 796, 714?

You can find a detailed procedure to find GCD of 658, 828, 796, 714 on our page.

3. How to find GCD of 658, 828, 796, 714 on a calculator?

You can find the GCD of 658, 828, 796, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.