GCD of 614, 420, 929 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 614, 420, 929 i.e. 1 largest integer that divides all the numbers equally.

GCD of 614, 420, 929 is 1

GCD(614, 420, 929) = 1

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

GCD of

GCD of numbers 614, 420, 929 is 1

GCD(614, 420, 929) = 1

GCD of 614,420,929 Calculator

GCDof 614,420,929 is 1

Given Input numbers are 614, 420, 929

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

Divisors of 614

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

1, 2, 307, 614

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 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 614, 420, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 420, 929 is 1.

Therefore, GCD of numbers 614, 420, 929 is 1

Finding GCD of 614, 420, 929 using Prime Factorization

Given Input Data is 614, 420, 929

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

Prime Factorization of 614 is 2 x 307

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

Prime Factorization of 929 is 929

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

Finding GCD of 614, 420, 929 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(614, 420) = 128940

GCD(614, 420) = ( 614 x 420 ) / 128940

GCD(614, 420) = 257880 / 128940

GCD(614, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

GCD of 614, 420, 929 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 614, 420, 929

1. What is the GCD of 614, 420, 929?

GCD of 614, 420, 929 is 1

2. Where do I get the detailed procedure to find GCD of 614, 420, 929?

You can find a detailed procedure to find GCD of 614, 420, 929 on our page.

3. How to find GCD of 614, 420, 929 on a calculator?

You can find the GCD of 614, 420, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.