GCD of 414, 274, 735 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 414, 274, 735 i.e. 1 largest integer that divides all the numbers equally.

GCD of 414, 274, 735 is 1

GCD(414, 274, 735) = 1

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

GCD of

GCD of numbers 414, 274, 735 is 1

GCD(414, 274, 735) = 1

GCD of 414,274,735 Calculator

GCDof 414,274,735 is 1

Given Input numbers are 414, 274, 735

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 414, 274, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 274, 735 is 1.

Therefore, GCD of numbers 414, 274, 735 is 1

Finding GCD of 414, 274, 735 using Prime Factorization

Given Input Data is 414, 274, 735

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 274 is 2 x 137

Prime Factorization of 735 is 3 x 5 x 7 x 7

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

Finding GCD of 414, 274, 735 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(414, 274) = 56718

GCD(414, 274) = ( 414 x 274 ) / 56718

GCD(414, 274) = 113436 / 56718

GCD(414, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 414, 274, 735 is 1

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FAQs on GCD of numbers 414, 274, 735

1. What is the GCD of 414, 274, 735?

GCD of 414, 274, 735 is 1

2. Where do I get the detailed procedure to find GCD of 414, 274, 735?

You can find a detailed procedure to find GCD of 414, 274, 735 on our page.

3. How to find GCD of 414, 274, 735 on a calculator?

You can find the GCD of 414, 274, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.