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GCD of 429, 714, 187, 443 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, 714, 187, 443 quickly. Get the easiest ways to solve the greatest common divisor of 429, 714, 187, 443 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 714, 187, 443 with Factoring?

Given Input numbers are 429, 714, 187, 443

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443


GCD of numbers is the greatest common divisor

So, the GCD (429, 714, 187, 443) = 1.

Find GCD of 429, 714, 187, 443 using Prime Factorization

Given numbers are 429, 714, 187, 443

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 187 are 11 x 17

Prime factors of 443 are 443

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

Steps to Calculate GCD of 429, 714, 187, 443 using LCM Formula

Given numbers are 429, 714, 187, 443

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

Apply this formula for all numbers.

Step1:

LCM(429, 714) = 102102

GCD(429, 714) = ( 429 x 714 ) / 102102

= 429 / 714

= 429


Step2:

LCM(3, 187) = 561

GCD(3, 187) = ( 3 x 187 ) / 561

= 3 / 187

= 3


Step3:

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

= 1 / 443

= 1


So, Greatest Common Divisor of 429, 714, 187, 443 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 714, 187, 443

Given numbers are 429, 714, 187, 443
The greatest common divisor of numbers 429, 714, 187, 443 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 714, 187, 443 is 1.

FAQs on GCD of 429, 714, 187, 443 Calculator

1. What is the GCD of 429, 714, 187, 443?

GCD of given numbers 429, 714, 187, 443 is 1


2. How to calculate the greatest common divisor of 429, 714, 187, 443?

We can find the highest common divisor of 429, 714, 187, 443 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, 714, 187, 443 i.e 1.


3. How can I use the GCD of 429, 714, 187, 443Calculator?

Out the numbers 429, 714, 187, 443 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.