GCD of 736, 421, 514 Calculator

Given Input numbers are 736, 421, 514

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 736, 421, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 421, 514 is 1.

Therefore, GCD of numbers 736, 421, 514 is 1

Given Input Data is 736, 421, 514

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 421 is 421

Prime Factorization of 514 is 2 x 257

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, 421) = 309856

GCD(736, 421) = ( 736 x 421 ) / 309856

GCD(736, 421) = 309856 / 309856

GCD(736, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 736, 421, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 343, 900
• GCD of 378, 619, 276
• GCD of 513, 559, 848
• GCD of 677, 506, 222
• GCD of 436, 334, 753

1. What is the GCD of 736, 421, 514?

GCD of 736, 421, 514 is 1

2. Where do I get the detailed procedure to find GCD of 736, 421, 514?

You can find a detailed procedure to find GCD of 736, 421, 514 on our page.

3. How to find GCD of 736, 421, 514 on a calculator?

You can find the GCD of 736, 421, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.