GCD of 764, 652, 284, 362 Calculator

Given Input numbers are 764, 652, 284, 362

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 764, 652, 284, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 652, 284, 362 is 2.

Therefore, GCD of numbers 764, 652, 284, 362 is 2

Given Input Data is 764, 652, 284, 362

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 362 is 2 x 181

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(764, 652) = 124532

GCD(764, 652) = ( 764 x 652 ) / 124532

GCD(764, 652) = 498128 / 124532

GCD(764, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 284

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

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

GCD(4, 284) = 1136 / 284

GCD(4, 284) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 362

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

LCM(4, 362) = 724

GCD(4, 362) = ( 4 x 362 ) / 724

GCD(4, 362) = 1448 / 724

GCD(4, 362) = 2

GCD of 764, 652, 284, 362 is 2

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1. What is the GCD of 764, 652, 284, 362?

GCD of 764, 652, 284, 362 is 2

2. Where do I get the detailed procedure to find GCD of 764, 652, 284, 362?

You can find a detailed procedure to find GCD of 764, 652, 284, 362 on our page.

3. How to find GCD of 764, 652, 284, 362 on a calculator?

You can find the GCD of 764, 652, 284, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.