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GCD of 422, 329, 466, 748 Calculator

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


Online GCD Calculator is useful to find the GCD of 422, 329, 466, 748 quickly. Get the easiest ways to solve the greatest common divisor of 422, 329, 466, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 422, 329, 466, 748 with Factoring?

Given Input numbers are 422, 329, 466, 748

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (422, 329, 466, 748) = 1.

Find GCD of 422, 329, 466, 748 using Prime Factorization

Given numbers are 422, 329, 466, 748

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 329 are 7 x 47

Prime factors of 466 are 2 x 233

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 422, 329, 466, 748 using LCM Formula

Given numbers are 422, 329, 466, 748

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

Apply this formula for all numbers.

Step1:

LCM(422, 329) = 138838

GCD(422, 329) = ( 422 x 329 ) / 138838

= 422 / 329

= 422


Step2:

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

= 1 / 466

= 1


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 422, 329, 466, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 422, 329, 466, 748

Given numbers are 422, 329, 466, 748
The greatest common divisor of numbers 422, 329, 466, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 329, 466, 748 is 1.

FAQs on GCD of 422, 329, 466, 748 Calculator

1. What is the GCD of 422, 329, 466, 748?

GCD of given numbers 422, 329, 466, 748 is 1


2. How to calculate the greatest common divisor of 422, 329, 466, 748?

We can find the highest common divisor of 422, 329, 466, 748 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 422, 329, 466, 748 i.e 1.


3. How can I use the GCD of 422, 329, 466, 748Calculator?

Out the numbers 422, 329, 466, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.