GCD of 734, 910, 69 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 734, 910, 69 i.e. 1 largest integer that divides all the numbers equally.

GCD of 734, 910, 69 is 1

GCD(734, 910, 69) = 1

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

GCD of

GCD of numbers 734, 910, 69 is 1

GCD(734, 910, 69) = 1

GCD of 734,910,69 Calculator

GCDof 734,910,69 is 1

Given Input numbers are 734, 910, 69

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 734, 910, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 910, 69 is 1.

Therefore, GCD of numbers 734, 910, 69 is 1

Finding GCD of 734, 910, 69 using Prime Factorization

Given Input Data is 734, 910, 69

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 69 is 3 x 23

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

Finding GCD of 734, 910, 69 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(734, 910) = 333970

GCD(734, 910) = ( 734 x 910 ) / 333970

GCD(734, 910) = 667940 / 333970

GCD(734, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

GCD of 734, 910, 69 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 734, 910, 69

1. What is the GCD of 734, 910, 69?

GCD of 734, 910, 69 is 1

2. Where do I get the detailed procedure to find GCD of 734, 910, 69?

You can find a detailed procedure to find GCD of 734, 910, 69 on our page.

3. How to find GCD of 734, 910, 69 on a calculator?

You can find the GCD of 734, 910, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.