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GCD of 111, 706, 267, 828 Calculator

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


Online GCD Calculator is useful to find the GCD of 111, 706, 267, 828 quickly. Get the easiest ways to solve the greatest common divisor of 111, 706, 267, 828 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 111, 706, 267, 828 with Factoring?

Given Input numbers are 111, 706, 267, 828

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828


GCD of numbers is the greatest common divisor

So, the GCD (111, 706, 267, 828) = 1.

Find GCD of 111, 706, 267, 828 using Prime Factorization

Given numbers are 111, 706, 267, 828

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 706 are 2 x 353

Prime factors of 267 are 3 x 89

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Steps to Calculate GCD of 111, 706, 267, 828 using LCM Formula

Given numbers are 111, 706, 267, 828

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

Apply this formula for all numbers.

Step1:

LCM(111, 706) = 78366

GCD(111, 706) = ( 111 x 706 ) / 78366

= 111 / 706

= 111


Step2:

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

= 1 / 267

= 1


Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1


So, Greatest Common Divisor of 111, 706, 267, 828 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 111, 706, 267, 828

Given numbers are 111, 706, 267, 828
The greatest common divisor of numbers 111, 706, 267, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 706, 267, 828 is 1.

FAQs on GCD of 111, 706, 267, 828 Calculator

1. What is the GCD of 111, 706, 267, 828?

GCD of given numbers 111, 706, 267, 828 is 1


2. How to calculate the greatest common divisor of 111, 706, 267, 828?

We can find the highest common divisor of 111, 706, 267, 828 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 111, 706, 267, 828 i.e 1.


3. How can I use the GCD of 111, 706, 267, 828Calculator?

Out the numbers 111, 706, 267, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.