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GCD of 432, 898, 112, 469 Calculator

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


Online GCD Calculator is useful to find the GCD of 432, 898, 112, 469 quickly. Get the easiest ways to solve the greatest common divisor of 432, 898, 112, 469 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 898, 112, 469 with Factoring?

Given Input numbers are 432, 898, 112, 469

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469


GCD of numbers is the greatest common divisor

So, the GCD (432, 898, 112, 469) = 1.

Find GCD of 432, 898, 112, 469 using Prime Factorization

Given numbers are 432, 898, 112, 469

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 898 are 2 x 449

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 469 are 7 x 67

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

Steps to Calculate GCD of 432, 898, 112, 469 using LCM Formula

Given numbers are 432, 898, 112, 469

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

Apply this formula for all numbers.

Step1:

LCM(432, 898) = 193968

GCD(432, 898) = ( 432 x 898 ) / 193968

= 432 / 898

= 432


Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2


Step3:

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

= 2 / 469

= 2


So, Greatest Common Divisor of 432, 898, 112, 469 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 898, 112, 469

Given numbers are 432, 898, 112, 469
The greatest common divisor of numbers 432, 898, 112, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 898, 112, 469 is 1.

FAQs on GCD of 432, 898, 112, 469 Calculator

1. What is the GCD of 432, 898, 112, 469?

GCD of given numbers 432, 898, 112, 469 is 1


2. How to calculate the greatest common divisor of 432, 898, 112, 469?

We can find the highest common divisor of 432, 898, 112, 469 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 432, 898, 112, 469 i.e 1.


3. How can I use the GCD of 432, 898, 112, 469Calculator?

Out the numbers 432, 898, 112, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.