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GCD of 429, 691, 226, 456 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, 691, 226, 456 quickly. Get the easiest ways to solve the greatest common divisor of 429, 691, 226, 456 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 691, 226, 456 with Factoring?

Given Input numbers are 429, 691, 226, 456

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 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456


GCD of numbers is the greatest common divisor

So, the GCD (429, 691, 226, 456) = 1.

Find GCD of 429, 691, 226, 456 using Prime Factorization

Given numbers are 429, 691, 226, 456

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 691 are 691

Prime factors of 226 are 2 x 113

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Steps to Calculate GCD of 429, 691, 226, 456 using LCM Formula

Given numbers are 429, 691, 226, 456

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

Apply this formula for all numbers.

Step1:

LCM(429, 691) = 296439

GCD(429, 691) = ( 429 x 691 ) / 296439

= 429 / 691

= 429


Step2:

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

= 1 / 226

= 1


Step3:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1


So, Greatest Common Divisor of 429, 691, 226, 456 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 691, 226, 456

Given numbers are 429, 691, 226, 456
The greatest common divisor of numbers 429, 691, 226, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 691, 226, 456 is 1.

FAQs on GCD of 429, 691, 226, 456 Calculator

1. What is the GCD of 429, 691, 226, 456?

GCD of given numbers 429, 691, 226, 456 is 1


2. How to calculate the greatest common divisor of 429, 691, 226, 456?

We can find the highest common divisor of 429, 691, 226, 456 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, 691, 226, 456 i.e 1.


3. How can I use the GCD of 429, 691, 226, 456Calculator?

Out the numbers 429, 691, 226, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.