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GCD of 429, 864, 734, 696 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 429, 864, 734, 696 quickly. Get the easiest ways to solve the greatest common divisor of 429, 864, 734, 696 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 864, 734, 696 with Factoring?

Given Input numbers are 429, 864, 734, 696

In the factoring method, we have to find the divisors of all numbers

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696


GCD of numbers is the greatest common divisor

So, the GCD (429, 864, 734, 696) = 1.

Find GCD of 429, 864, 734, 696 using Prime Factorization

Given numbers are 429, 864, 734, 696

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 734 are 2 x 367

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Steps to Calculate GCD of 429, 864, 734, 696 using LCM Formula

Given numbers are 429, 864, 734, 696

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(429, 864) = 123552

GCD(429, 864) = ( 429 x 864 ) / 123552

= 429 / 864

= 429


Step2:

LCM(3, 734) = 2202

GCD(3, 734) = ( 3 x 734 ) / 2202

= 3 / 734

= 3


Step3:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1


So, Greatest Common Divisor of 429, 864, 734, 696 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 864, 734, 696

Given numbers are 429, 864, 734, 696
The greatest common divisor of numbers 429, 864, 734, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 864, 734, 696 is 1.

FAQs on GCD of 429, 864, 734, 696 Calculator

1. What is the GCD of 429, 864, 734, 696?

GCD of given numbers 429, 864, 734, 696 is 1


2. How to calculate the greatest common divisor of 429, 864, 734, 696?

We can find the highest common divisor of 429, 864, 734, 696 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 429, 864, 734, 696 i.e 1.


3. How can I use the GCD of 429, 864, 734, 696Calculator?

Out the numbers 429, 864, 734, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.