GCD of 702, 574, 538, 820 Calculator

Given Input numbers are 702, 574, 538, 820

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 702, 574, 538, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 574, 538, 820 is 2.

Therefore, GCD of numbers 702, 574, 538, 820 is 2

Given Input Data is 702, 574, 538, 820

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 538 is 2 x 269

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(702, 574) = 201474

GCD(702, 574) = ( 702 x 574 ) / 201474

GCD(702, 574) = 402948 / 201474

GCD(702, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

GCD of 702, 574, 538, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 392, 192, 519
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• GCD of 503, 558, 716, 770
• GCD of 895, 176, 625, 712

1. What is the GCD of 702, 574, 538, 820?

GCD of 702, 574, 538, 820 is 2

2. Where do I get the detailed procedure to find GCD of 702, 574, 538, 820?

You can find a detailed procedure to find GCD of 702, 574, 538, 820 on our page.

3. How to find GCD of 702, 574, 538, 820 on a calculator?

You can find the GCD of 702, 574, 538, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.