GCD of 728, 262, 196, 614 Calculator

Given Input numbers are 728, 262, 196, 614

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 728, 262, 196, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 262, 196, 614 is 2.

Therefore, GCD of numbers 728, 262, 196, 614 is 2

Given Input Data is 728, 262, 196, 614

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 262 is 2 x 131

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 614 is 2 x 307

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(728, 262) = 95368

GCD(728, 262) = ( 728 x 262 ) / 95368

GCD(728, 262) = 190736 / 95368

GCD(728, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 728, 262, 196, 614 is 2

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1. What is the GCD of 728, 262, 196, 614?

GCD of 728, 262, 196, 614 is 2

2. Where do I get the detailed procedure to find GCD of 728, 262, 196, 614?

You can find a detailed procedure to find GCD of 728, 262, 196, 614 on our page.

3. How to find GCD of 728, 262, 196, 614 on a calculator?

You can find the GCD of 728, 262, 196, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.