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GCD of 828, 225, 496, 124 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, 225, 496, 124 quickly. Get the easiest ways to solve the greatest common divisor of 828, 225, 496, 124 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 225, 496, 124 with Factoring?

Given Input numbers are 828, 225, 496, 124

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124


GCD of numbers is the greatest common divisor

So, the GCD (828, 225, 496, 124) = 1.

Find GCD of 828, 225, 496, 124 using Prime Factorization

Given numbers are 828, 225, 496, 124

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 225 are 3 x 3 x 5 x 5

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 124 are 2 x 2 x 31

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

Steps to Calculate GCD of 828, 225, 496, 124 using LCM Formula

Given numbers are 828, 225, 496, 124

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

Apply this formula for all numbers.

Step1:

LCM(828, 225) = 20700

GCD(828, 225) = ( 828 x 225 ) / 20700

= 828 / 225

= 828


Step2:

LCM(9, 496) = 4464

GCD(9, 496) = ( 9 x 496 ) / 4464

= 9 / 496

= 9


Step3:

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

= 1 / 124

= 1


So, Greatest Common Divisor of 828, 225, 496, 124 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 225, 496, 124

Given numbers are 828, 225, 496, 124
The greatest common divisor of numbers 828, 225, 496, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 225, 496, 124 is 1.

FAQs on GCD of 828, 225, 496, 124 Calculator

1. What is the GCD of 828, 225, 496, 124?

GCD of given numbers 828, 225, 496, 124 is 1


2. How to calculate the greatest common divisor of 828, 225, 496, 124?

We can find the highest common divisor of 828, 225, 496, 124 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, 225, 496, 124 i.e 1.


3. How can I use the GCD of 828, 225, 496, 124Calculator?

Out the numbers 828, 225, 496, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.