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 897, 837, 975, 243 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, 837, 975, 243 quickly. Get the easiest ways to solve the greatest common divisor of 897, 837, 975, 243 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 837, 975, 243 with Factoring?

Given Input numbers are 897, 837, 975, 243

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 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243


GCD of numbers is the greatest common divisor

So, the GCD (897, 837, 975, 243) = 3.

Find GCD of 897, 837, 975, 243 using Prime Factorization

Given numbers are 897, 837, 975, 243

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 897, 837, 975, 243 is 3.

Steps to Calculate GCD of 897, 837, 975, 243 using LCM Formula

Given numbers are 897, 837, 975, 243

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

Apply this formula for all numbers.

Step1:

LCM(897, 837) = 250263

GCD(897, 837) = ( 897 x 837 ) / 250263

= 897 / 837

= 897


Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3


Step3:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3


So, Greatest Common Divisor of 897, 837, 975, 243 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 837, 975, 243

Given numbers are 897, 837, 975, 243
The greatest common divisor of numbers 897, 837, 975, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 837, 975, 243 is 3.

FAQs on GCD of 897, 837, 975, 243 Calculator

1. What is the GCD of 897, 837, 975, 243?

GCD of given numbers 897, 837, 975, 243 is 3


2. How to calculate the greatest common divisor of 897, 837, 975, 243?

We can find the highest common divisor of 897, 837, 975, 243 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, 837, 975, 243 i.e 3.


3. How can I use the GCD of 897, 837, 975, 243Calculator?

Out the numbers 897, 837, 975, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.