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GCD of 629, 438, 800, 351 Calculator

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


Online GCD Calculator is useful to find the GCD of 629, 438, 800, 351 quickly. Get the easiest ways to solve the greatest common divisor of 629, 438, 800, 351 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 629, 438, 800, 351 with Factoring?

Given Input numbers are 629, 438, 800, 351

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

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351


GCD of numbers is the greatest common divisor

So, the GCD (629, 438, 800, 351) = 1.

Find GCD of 629, 438, 800, 351 using Prime Factorization

Given numbers are 629, 438, 800, 351

The list of prime factors of all numbers are

Prime factors of 629 are 17 x 37

Prime factors of 438 are 2 x 3 x 73

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 351 are 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 629, 438, 800, 351 using LCM Formula

Given numbers are 629, 438, 800, 351

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

Apply this formula for all numbers.

Step1:

LCM(629, 438) = 275502

GCD(629, 438) = ( 629 x 438 ) / 275502

= 629 / 438

= 629


Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1


Step3:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1


So, Greatest Common Divisor of 629, 438, 800, 351 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 629, 438, 800, 351

Given numbers are 629, 438, 800, 351
The greatest common divisor of numbers 629, 438, 800, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 629, 438, 800, 351 is 1.

FAQs on GCD of 629, 438, 800, 351 Calculator

1. What is the GCD of 629, 438, 800, 351?

GCD of given numbers 629, 438, 800, 351 is 1


2. How to calculate the greatest common divisor of 629, 438, 800, 351?

We can find the highest common divisor of 629, 438, 800, 351 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 629, 438, 800, 351 i.e 1.


3. How can I use the GCD of 629, 438, 800, 351Calculator?

Out the numbers 629, 438, 800, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.