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GCD of 289, 134, 442, 424 Calculator

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


Online GCD Calculator is useful to find the GCD of 289, 134, 442, 424 quickly. Get the easiest ways to solve the greatest common divisor of 289, 134, 442, 424 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 289, 134, 442, 424 with Factoring?

Given Input numbers are 289, 134, 442, 424

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424


GCD of numbers is the greatest common divisor

So, the GCD (289, 134, 442, 424) = 1.

Find GCD of 289, 134, 442, 424 using Prime Factorization

Given numbers are 289, 134, 442, 424

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 134 are 2 x 67

Prime factors of 442 are 2 x 13 x 17

Prime factors of 424 are 2 x 2 x 2 x 53

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

Steps to Calculate GCD of 289, 134, 442, 424 using LCM Formula

Given numbers are 289, 134, 442, 424

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

Apply this formula for all numbers.

Step1:

LCM(289, 134) = 38726

GCD(289, 134) = ( 289 x 134 ) / 38726

= 289 / 134

= 289


Step2:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1


Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1


So, Greatest Common Divisor of 289, 134, 442, 424 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 289, 134, 442, 424

Given numbers are 289, 134, 442, 424
The greatest common divisor of numbers 289, 134, 442, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 134, 442, 424 is 1.

FAQs on GCD of 289, 134, 442, 424 Calculator

1. What is the GCD of 289, 134, 442, 424?

GCD of given numbers 289, 134, 442, 424 is 1


2. How to calculate the greatest common divisor of 289, 134, 442, 424?

We can find the highest common divisor of 289, 134, 442, 424 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 289, 134, 442, 424 i.e 1.


3. How can I use the GCD of 289, 134, 442, 424Calculator?

Out the numbers 289, 134, 442, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.