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GCD of 897, 789, 900, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 789, 900, 842 quickly. Get the easiest ways to solve the greatest common divisor of 897, 789, 900, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 789, 900, 842 with Factoring?

Given Input numbers are 897, 789, 900, 842

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (897, 789, 900, 842) = 1.

Find GCD of 897, 789, 900, 842 using Prime Factorization

Given numbers are 897, 789, 900, 842

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 789 are 3 x 263

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 897, 789, 900, 842 using LCM Formula

Given numbers are 897, 789, 900, 842

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

Apply this formula for all numbers.

Step1:

LCM(897, 789) = 235911

GCD(897, 789) = ( 897 x 789 ) / 235911

= 897 / 789

= 897


Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3


Step3:

LCM(3, 842) = 2526

GCD(3, 842) = ( 3 x 842 ) / 2526

= 3 / 842

= 3


So, Greatest Common Divisor of 897, 789, 900, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 789, 900, 842

Given numbers are 897, 789, 900, 842
The greatest common divisor of numbers 897, 789, 900, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 789, 900, 842 is 1.

FAQs on GCD of 897, 789, 900, 842 Calculator

1. What is the GCD of 897, 789, 900, 842?

GCD of given numbers 897, 789, 900, 842 is 1


2. How to calculate the greatest common divisor of 897, 789, 900, 842?

We can find the highest common divisor of 897, 789, 900, 842 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 897, 789, 900, 842 i.e 1.


3. How can I use the GCD of 897, 789, 900, 842Calculator?

Out the numbers 897, 789, 900, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.