Where do I get the detailed procedure to find GCD of 699, 429, 74?

You can find a detailed procedure to find GCD of 699, 429, 74 on our page.

How to find GCD of 699, 429, 74 on a calculator?

You can find the GCD of 699, 429, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 699, 429, 74 Calculator

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

Online GCD Calculator is useful to find the GCD of 699, 429, 74 quickly. Get the easiest ways to solve the greatest common divisor of 699, 429, 74 i.e 1 in different methods as follows.

How to Find GCD of Numbers 699, 429, 74 with Factoring?

Given Input numbers are 699, 429, 74

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 429 :

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

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

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

GCD of numbers is the greatest common divisor

So, the GCD (699, 429, 74) = 1.

Find GCD of 699, 429, 74 using Prime Factorization

Given numbers are 699, 429, 74

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 429 are 3 x 11 x 13

Prime factors of 74 are 2 x 37

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

Steps to Calculate GCD of 699, 429, 74 using LCM Formula

Given numbers are 699, 429, 74

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

Apply this formula for all numbers.

Step1:

LCM(699, 429) = 99957

GCD(699, 429) = ( 699 x 429 ) / 99957

= 699 / 429

= 699

Step2:

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

= 3 / 74

= 3

So, Greatest Common Divisor of 699, 429, 74 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 699, 429, 74

Given numbers are 699, 429, 74
The greatest common divisor of numbers 699, 429, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 429, 74 is 1.

FAQs on GCD of 699, 429, 74 Calculator

1. What is the GCD of 699, 429, 74?

GCD of given numbers 699, 429, 74 is 1

2. How to calculate the greatest common divisor of 699, 429, 74?

We can find the highest common divisor of 699, 429, 74 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 699, 429, 74 i.e 1.

3. How can I use the GCD of 699, 429, 74Calculator?

Out the numbers 699, 429, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.