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GCD of 825, 421, 625, 433 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 421, 625, 433 quickly. Get the easiest ways to solve the greatest common divisor of 825, 421, 625, 433 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 421, 625, 433 with Factoring?

Given Input numbers are 825, 421, 625, 433

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 433 :

The positive integer divisors of 433 that completely divides 433 are.

1, 433


GCD of numbers is the greatest common divisor

So, the GCD (825, 421, 625, 433) = 1.

Find GCD of 825, 421, 625, 433 using Prime Factorization

Given numbers are 825, 421, 625, 433

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 421 are 421

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 433 are 433

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

Steps to Calculate GCD of 825, 421, 625, 433 using LCM Formula

Given numbers are 825, 421, 625, 433

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

Apply this formula for all numbers.

Step1:

LCM(825, 421) = 347325

GCD(825, 421) = ( 825 x 421 ) / 347325

= 825 / 421

= 825


Step2:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1


Step3:

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

= 1 / 433

= 1


So, Greatest Common Divisor of 825, 421, 625, 433 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 421, 625, 433

Given numbers are 825, 421, 625, 433
The greatest common divisor of numbers 825, 421, 625, 433 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 421, 625, 433 is 1.

FAQs on GCD of 825, 421, 625, 433 Calculator

1. What is the GCD of 825, 421, 625, 433?

GCD of given numbers 825, 421, 625, 433 is 1


2. How to calculate the greatest common divisor of 825, 421, 625, 433?

We can find the highest common divisor of 825, 421, 625, 433 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 825, 421, 625, 433 i.e 1.


3. How can I use the GCD of 825, 421, 625, 433Calculator?

Out the numbers 825, 421, 625, 433 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.