GCD of 734, 928, 508, 221 Calculator

Given Input numbers are 734, 928, 508, 221

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 734, 928, 508, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 928, 508, 221 is 1.

Therefore, GCD of numbers 734, 928, 508, 221 is 1

Given Input Data is 734, 928, 508, 221

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 221 is 13 x 17

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(734, 928) = 340576

GCD(734, 928) = ( 734 x 928 ) / 340576

GCD(734, 928) = 681152 / 340576

GCD(734, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 734, 928, 508, 221 is 1

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1. What is the GCD of 734, 928, 508, 221?

GCD of 734, 928, 508, 221 is 1

2. Where do I get the detailed procedure to find GCD of 734, 928, 508, 221?

You can find a detailed procedure to find GCD of 734, 928, 508, 221 on our page.

3. How to find GCD of 734, 928, 508, 221 on a calculator?

You can find the GCD of 734, 928, 508, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.