GCD of 846, 357, 864 Calculator

Given Input numbers are 846, 357, 864

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

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 846, 357, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 357, 864 is 3.

Therefore, GCD of numbers 846, 357, 864 is 3

Given Input Data is 846, 357, 864

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

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(846, 357) = 100674

GCD(846, 357) = ( 846 x 357 ) / 100674

GCD(846, 357) = 302022 / 100674

GCD(846, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 864

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

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

GCD(3, 864) = 2592 / 864

GCD(3, 864) = 3

GCD of 846, 357, 864 is 3

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• GCD of 317, 486, 709
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1. What is the GCD of 846, 357, 864?

GCD of 846, 357, 864 is 3

2. Where do I get the detailed procedure to find GCD of 846, 357, 864?

You can find a detailed procedure to find GCD of 846, 357, 864 on our page.

3. How to find GCD of 846, 357, 864 on a calculator?

You can find the GCD of 846, 357, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.