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GCD of 429, 242, 150, 449 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, 242, 150, 449 quickly. Get the easiest ways to solve the greatest common divisor of 429, 242, 150, 449 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 242, 150, 449 with Factoring?

Given Input numbers are 429, 242, 150, 449

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449


GCD of numbers is the greatest common divisor

So, the GCD (429, 242, 150, 449) = 1.

Find GCD of 429, 242, 150, 449 using Prime Factorization

Given numbers are 429, 242, 150, 449

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 242 are 2 x 11 x 11

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 449 are 449

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

Steps to Calculate GCD of 429, 242, 150, 449 using LCM Formula

Given numbers are 429, 242, 150, 449

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

Apply this formula for all numbers.

Step1:

LCM(429, 242) = 9438

GCD(429, 242) = ( 429 x 242 ) / 9438

= 429 / 242

= 429


Step2:

LCM(11, 150) = 1650

GCD(11, 150) = ( 11 x 150 ) / 1650

= 11 / 150

= 11


Step3:

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

= 1 / 449

= 1


So, Greatest Common Divisor of 429, 242, 150, 449 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 242, 150, 449

Given numbers are 429, 242, 150, 449
The greatest common divisor of numbers 429, 242, 150, 449 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 242, 150, 449 is 1.

FAQs on GCD of 429, 242, 150, 449 Calculator

1. What is the GCD of 429, 242, 150, 449?

GCD of given numbers 429, 242, 150, 449 is 1


2. How to calculate the greatest common divisor of 429, 242, 150, 449?

We can find the highest common divisor of 429, 242, 150, 449 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, 242, 150, 449 i.e 1.


3. How can I use the GCD of 429, 242, 150, 449Calculator?

Out the numbers 429, 242, 150, 449 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.