GCD of 252, 418, 82, 692 Calculator

Given Input numbers are 252, 418, 82, 692

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 252, 418, 82, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 418, 82, 692 is 2.

Therefore, GCD of numbers 252, 418, 82, 692 is 2

Given Input Data is 252, 418, 82, 692

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 692 is 2 x 2 x 173

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(252, 418) = 52668

GCD(252, 418) = ( 252 x 418 ) / 52668

GCD(252, 418) = 105336 / 52668

GCD(252, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 252, 418, 82, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 625, 85, 940
• GCD of 886, 286, 14, 276
• GCD of 101, 276, 22, 394
• GCD of 607, 998, 34, 898
• GCD of 877, 441, 42, 124

1. What is the GCD of 252, 418, 82, 692?

GCD of 252, 418, 82, 692 is 2

2. Where do I get the detailed procedure to find GCD of 252, 418, 82, 692?

You can find a detailed procedure to find GCD of 252, 418, 82, 692 on our page.

3. How to find GCD of 252, 418, 82, 692 on a calculator?

You can find the GCD of 252, 418, 82, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.