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GCD of 814, 429, 113, 188 Calculator

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


Online GCD Calculator is useful to find the GCD of 814, 429, 113, 188 quickly. Get the easiest ways to solve the greatest common divisor of 814, 429, 113, 188 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 429, 113, 188 with Factoring?

Given Input numbers are 814, 429, 113, 188

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 429 :

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

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

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188


GCD of numbers is the greatest common divisor

So, the GCD (814, 429, 113, 188) = 1.

Find GCD of 814, 429, 113, 188 using Prime Factorization

Given numbers are 814, 429, 113, 188

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 429 are 3 x 11 x 13

Prime factors of 113 are 113

Prime factors of 188 are 2 x 2 x 47

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

Steps to Calculate GCD of 814, 429, 113, 188 using LCM Formula

Given numbers are 814, 429, 113, 188

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

Apply this formula for all numbers.

Step1:

LCM(814, 429) = 31746

GCD(814, 429) = ( 814 x 429 ) / 31746

= 814 / 429

= 814


Step2:

LCM(11, 113) = 1243

GCD(11, 113) = ( 11 x 113 ) / 1243

= 11 / 113

= 11


Step3:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1


So, Greatest Common Divisor of 814, 429, 113, 188 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 429, 113, 188

Given numbers are 814, 429, 113, 188
The greatest common divisor of numbers 814, 429, 113, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 429, 113, 188 is 1.

FAQs on GCD of 814, 429, 113, 188 Calculator

1. What is the GCD of 814, 429, 113, 188?

GCD of given numbers 814, 429, 113, 188 is 1


2. How to calculate the greatest common divisor of 814, 429, 113, 188?

We can find the highest common divisor of 814, 429, 113, 188 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 814, 429, 113, 188 i.e 1.


3. How can I use the GCD of 814, 429, 113, 188Calculator?

Out the numbers 814, 429, 113, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.