GCD of 692, 608, 628, 368 Calculator

Given Input numbers are 692, 608, 628, 368

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 692, 608, 628, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 608, 628, 368 is 4.

Therefore, GCD of numbers 692, 608, 628, 368 is 4

Given Input Data is 692, 608, 628, 368

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(692, 608) = 105184

GCD(692, 608) = ( 692 x 608 ) / 105184

GCD(692, 608) = 420736 / 105184

GCD(692, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 628

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

LCM(4, 628) = 628

GCD(4, 628) = ( 4 x 628 ) / 628

GCD(4, 628) = 2512 / 628

GCD(4, 628) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 368

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

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

GCD(4, 368) = 1472 / 368

GCD(4, 368) = 4

GCD of 692, 608, 628, 368 is 4

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1. What is the GCD of 692, 608, 628, 368?

GCD of 692, 608, 628, 368 is 4

2. Where do I get the detailed procedure to find GCD of 692, 608, 628, 368?

You can find a detailed procedure to find GCD of 692, 608, 628, 368 on our page.

3. How to find GCD of 692, 608, 628, 368 on a calculator?

You can find the GCD of 692, 608, 628, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.