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GCD of 112, 772, 299, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 112, 772, 299, 438 quickly. Get the easiest ways to solve the greatest common divisor of 112, 772, 299, 438 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 112, 772, 299, 438 with Factoring?

Given Input numbers are 112, 772, 299, 438

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

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438


GCD of numbers is the greatest common divisor

So, the GCD (112, 772, 299, 438) = 1.

Find GCD of 112, 772, 299, 438 using Prime Factorization

Given numbers are 112, 772, 299, 438

The list of prime factors of all numbers are

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

Prime factors of 772 are 2 x 2 x 193

Prime factors of 299 are 13 x 23

Prime factors of 438 are 2 x 3 x 73

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

Steps to Calculate GCD of 112, 772, 299, 438 using LCM Formula

Given numbers are 112, 772, 299, 438

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

Apply this formula for all numbers.

Step1:

LCM(112, 772) = 21616

GCD(112, 772) = ( 112 x 772 ) / 21616

= 112 / 772

= 112


Step2:

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

= 4 / 299

= 4


Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


So, Greatest Common Divisor of 112, 772, 299, 438 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 112, 772, 299, 438

Given numbers are 112, 772, 299, 438
The greatest common divisor of numbers 112, 772, 299, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 772, 299, 438 is 1.

FAQs on GCD of 112, 772, 299, 438 Calculator

1. What is the GCD of 112, 772, 299, 438?

GCD of given numbers 112, 772, 299, 438 is 1


2. How to calculate the greatest common divisor of 112, 772, 299, 438?

We can find the highest common divisor of 112, 772, 299, 438 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 112, 772, 299, 438 i.e 1.


3. How can I use the GCD of 112, 772, 299, 438Calculator?

Out the numbers 112, 772, 299, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.