GCD of 514, 997, 697, 236 Calculator

Given Input numbers are 514, 997, 697, 236

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

Divisors of 514

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

1, 2, 257, 514

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 514, 997, 697, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 997, 697, 236 is 1.

Therefore, GCD of numbers 514, 997, 697, 236 is 1

Given Input Data is 514, 997, 697, 236

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 997 is 997

Prime Factorization of 697 is 17 x 41

Prime Factorization of 236 is 2 x 2 x 59

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(514, 997) = 512458

GCD(514, 997) = ( 514 x 997 ) / 512458

GCD(514, 997) = 512458 / 512458

GCD(514, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

GCD of 514, 997, 697, 236 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 506, 773, 793
• GCD of 325, 235, 265, 367
• GCD of 305, 926, 443, 174
• GCD of 374, 551, 526, 740
• GCD of 196, 565, 591, 642

1. What is the GCD of 514, 997, 697, 236?

GCD of 514, 997, 697, 236 is 1

2. Where do I get the detailed procedure to find GCD of 514, 997, 697, 236?

You can find a detailed procedure to find GCD of 514, 997, 697, 236 on our page.

3. How to find GCD of 514, 997, 697, 236 on a calculator?

You can find the GCD of 514, 997, 697, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.