LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 828, 675, 391, 462 Calculator

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


Online GCD Calculator is useful to find the GCD of 828, 675, 391, 462 quickly. Get the easiest ways to solve the greatest common divisor of 828, 675, 391, 462 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 675, 391, 462 with Factoring?

Given Input numbers are 828, 675, 391, 462

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

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

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 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462


GCD of numbers is the greatest common divisor

So, the GCD (828, 675, 391, 462) = 1.

Find GCD of 828, 675, 391, 462 using Prime Factorization

Given numbers are 828, 675, 391, 462

The list of prime factors of all numbers are

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

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

Prime factors of 391 are 17 x 23

Prime factors of 462 are 2 x 3 x 7 x 11

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

Steps to Calculate GCD of 828, 675, 391, 462 using LCM Formula

Given numbers are 828, 675, 391, 462

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

Apply this formula for all numbers.

Step1:

LCM(828, 675) = 62100

GCD(828, 675) = ( 828 x 675 ) / 62100

= 828 / 675

= 828


Step2:

LCM(9, 391) = 3519

GCD(9, 391) = ( 9 x 391 ) / 3519

= 9 / 391

= 9


Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1


So, Greatest Common Divisor of 828, 675, 391, 462 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 675, 391, 462

Given numbers are 828, 675, 391, 462
The greatest common divisor of numbers 828, 675, 391, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 675, 391, 462 is 1.

FAQs on GCD of 828, 675, 391, 462 Calculator

1. What is the GCD of 828, 675, 391, 462?

GCD of given numbers 828, 675, 391, 462 is 1


2. How to calculate the greatest common divisor of 828, 675, 391, 462?

We can find the highest common divisor of 828, 675, 391, 462 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 828, 675, 391, 462 i.e 1.


3. How can I use the GCD of 828, 675, 391, 462Calculator?

Out the numbers 828, 675, 391, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.