GCD of 736, 427, 558, 502 Calculator

Given Input numbers are 736, 427, 558, 502

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 502

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

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 736, 427, 558, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 427, 558, 502 is 1.

Therefore, GCD of numbers 736, 427, 558, 502 is 1

Given Input Data is 736, 427, 558, 502

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 427 is 7 x 61

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 502 is 2 x 251

The above numbers do not have any common prime factor. So GCD is 1

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, 427) = 314272

GCD(736, 427) = ( 736 x 427 ) / 314272

GCD(736, 427) = 314272 / 314272

GCD(736, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 736, 427, 558, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 801, 708, 625
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• GCD of 529, 503, 552, 509
• GCD of 360, 427, 350, 145

1. What is the GCD of 736, 427, 558, 502?

GCD of 736, 427, 558, 502 is 1

2. Where do I get the detailed procedure to find GCD of 736, 427, 558, 502?

You can find a detailed procedure to find GCD of 736, 427, 558, 502 on our page.

3. How to find GCD of 736, 427, 558, 502 on a calculator?

You can find the GCD of 736, 427, 558, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.