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GCD of 675, 687, 833, 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 675, 687, 833, 828 quickly. Get the easiest ways to solve the greatest common divisor of 675, 687, 833, 828 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 675, 687, 833, 828 with Factoring?

Given Input numbers are 675, 687, 833, 828

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 833 :

The positive integer divisors of 833 that completely divides 833 are.

1, 7, 17, 49, 119, 833

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 (675, 687, 833, 828) = 1.

Find GCD of 675, 687, 833, 828 using Prime Factorization

Given numbers are 675, 687, 833, 828

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 687 are 3 x 229

Prime factors of 833 are 7 x 7 x 17

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 675, 687, 833, 828 using LCM Formula

Given numbers are 675, 687, 833, 828

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

Apply this formula for all numbers.

Step1:

LCM(675, 687) = 154575

GCD(675, 687) = ( 675 x 687 ) / 154575

= 675 / 687

= 675


Step2:

LCM(3, 833) = 2499

GCD(3, 833) = ( 3 x 833 ) / 2499

= 3 / 833

= 3


Step3:

LCM(1, 828) = 828

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

= 1 / 828

= 1


So, Greatest Common Divisor of 675, 687, 833, 828 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 675, 687, 833, 828

Given numbers are 675, 687, 833, 828
The greatest common divisor of numbers 675, 687, 833, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 687, 833, 828 is 1.

FAQs on GCD of 675, 687, 833, 828 Calculator

1. What is the GCD of 675, 687, 833, 828?

GCD of given numbers 675, 687, 833, 828 is 1


2. How to calculate the greatest common divisor of 675, 687, 833, 828?

We can find the highest common divisor of 675, 687, 833, 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 675, 687, 833, 828 i.e 1.


3. How can I use the GCD of 675, 687, 833, 828Calculator?

Out the numbers 675, 687, 833, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.