GCD of 736, 502, 610, 394 Calculator

Given Input numbers are 736, 502, 610, 394

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 736, 502, 610, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 502, 610, 394 is 2.

Therefore, GCD of numbers 736, 502, 610, 394 is 2

Given Input Data is 736, 502, 610, 394

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 502 is 2 x 251

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 394 is 2 x 197

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(736, 502) = 184736

GCD(736, 502) = ( 736 x 502 ) / 184736

GCD(736, 502) = 369472 / 184736

GCD(736, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 736, 502, 610, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 601, 514, 213
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• GCD of 252, 889, 751, 798
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• GCD of 131, 310, 263, 819

1. What is the GCD of 736, 502, 610, 394?

GCD of 736, 502, 610, 394 is 2

2. Where do I get the detailed procedure to find GCD of 736, 502, 610, 394?

You can find a detailed procedure to find GCD of 736, 502, 610, 394 on our page.

3. How to find GCD of 736, 502, 610, 394 on a calculator?

You can find the GCD of 736, 502, 610, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.