GCD of 420, 514, 726, 385 Calculator

Given Input numbers are 420, 514, 726, 385

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 514

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

1, 2, 257, 514

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 420, 514, 726, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 514, 726, 385 is 1.

Therefore, GCD of numbers 420, 514, 726, 385 is 1

Given Input Data is 420, 514, 726, 385

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 514 is 2 x 257

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 385 is 5 x 7 x 11

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(420, 514) = 107940

GCD(420, 514) = ( 420 x 514 ) / 107940

GCD(420, 514) = 215880 / 107940

GCD(420, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 385

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

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

GCD(2, 385) = 770 / 770

GCD(2, 385) = 1

GCD of 420, 514, 726, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 526, 276, 204
• GCD of 415, 697, 761, 197
• GCD of 188, 566, 390, 922
• GCD of 429, 203, 196, 531
• GCD of 279, 490, 559, 459

1. What is the GCD of 420, 514, 726, 385?

GCD of 420, 514, 726, 385 is 1

2. Where do I get the detailed procedure to find GCD of 420, 514, 726, 385?

You can find a detailed procedure to find GCD of 420, 514, 726, 385 on our page.

3. How to find GCD of 420, 514, 726, 385 on a calculator?

You can find the GCD of 420, 514, 726, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.