GCD of 897, 237, 66, 846 Calculator

Given Input numbers are 897, 237, 66, 846

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 897, 237, 66, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 237, 66, 846 is 3.

Therefore, GCD of numbers 897, 237, 66, 846 is 3

Given Input Data is 897, 237, 66, 846

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 237 is 3 x 79

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 846 is 2 x 3 x 3 x 47

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(897, 237) = 70863

GCD(897, 237) = ( 897 x 237 ) / 70863

GCD(897, 237) = 212589 / 70863

GCD(897, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 846

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

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

GCD(3, 846) = 2538 / 846

GCD(3, 846) = 3

GCD of 897, 237, 66, 846 is 3

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1. What is the GCD of 897, 237, 66, 846?

GCD of 897, 237, 66, 846 is 3

2. Where do I get the detailed procedure to find GCD of 897, 237, 66, 846?

You can find a detailed procedure to find GCD of 897, 237, 66, 846 on our page.

3. How to find GCD of 897, 237, 66, 846 on a calculator?

You can find the GCD of 897, 237, 66, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.