GCD of 385, 737, 514 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 385, 737, 514 i.e. 1 largest integer that divides all the numbers equally.

GCD of 385, 737, 514 is 1

GCD(385, 737, 514) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 385, 737, 514 is 1

GCD(385, 737, 514) = 1

GCD of 385,737,514 Calculator

GCDof 385,737,514 is 1

Given Input numbers are 385, 737, 514

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

Divisors of 385

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

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

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 385, 737, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 737, 514 is 1.

Therefore, GCD of numbers 385, 737, 514 is 1

Finding GCD of 385, 737, 514 using Prime Factorization

Given Input Data is 385, 737, 514

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 737 is 11 x 67

Prime Factorization of 514 is 2 x 257

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 385, 737, 514 using LCM Formula

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(385, 737) = 25795

GCD(385, 737) = ( 385 x 737 ) / 25795

GCD(385, 737) = 283745 / 25795

GCD(385, 737) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 514

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

LCM(11, 514) = 5654

GCD(11, 514) = ( 11 x 514 ) / 5654

GCD(11, 514) = 5654 / 5654

GCD(11, 514) = 1

GCD of 385, 737, 514 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 385, 737, 514

1. What is the GCD of 385, 737, 514?

GCD of 385, 737, 514 is 1


2. Where do I get the detailed procedure to find GCD of 385, 737, 514?

You can find a detailed procedure to find GCD of 385, 737, 514 on our page.


3. How to find GCD of 385, 737, 514 on a calculator?

You can find the GCD of 385, 737, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.