GCD of 852, 746, 318, 524 Calculator

Given Input numbers are 852, 746, 318, 524

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 852, 746, 318, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 746, 318, 524 is 2.

Therefore, GCD of numbers 852, 746, 318, 524 is 2

Given Input Data is 852, 746, 318, 524

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 746 is 2 x 373

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 524 is 2 x 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(852, 746) = 317796

GCD(852, 746) = ( 852 x 746 ) / 317796

GCD(852, 746) = 635592 / 317796

GCD(852, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 852, 746, 318, 524 is 2

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• GCD of 237, 862, 599, 311
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1. What is the GCD of 852, 746, 318, 524?

GCD of 852, 746, 318, 524 is 2

2. Where do I get the detailed procedure to find GCD of 852, 746, 318, 524?

You can find a detailed procedure to find GCD of 852, 746, 318, 524 on our page.

3. How to find GCD of 852, 746, 318, 524 on a calculator?

You can find the GCD of 852, 746, 318, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.