GCD of 210, 864, 354, 957 Calculator

Given Input numbers are 210, 864, 354, 957

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 210, 864, 354, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 864, 354, 957 is 3.

Therefore, GCD of numbers 210, 864, 354, 957 is 3

Given Input Data is 210, 864, 354, 957

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 957 is 3 x 11 x 29

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(210, 864) = 30240

GCD(210, 864) = ( 210 x 864 ) / 30240

GCD(210, 864) = 181440 / 30240

GCD(210, 864) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 354

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

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

GCD(6, 354) = 2124 / 354

GCD(6, 354) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 957

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

LCM(6, 957) = 1914

GCD(6, 957) = ( 6 x 957 ) / 1914

GCD(6, 957) = 5742 / 1914

GCD(6, 957) = 3

GCD of 210, 864, 354, 957 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 517, 467, 864
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• GCD of 862, 139, 848, 772

1. What is the GCD of 210, 864, 354, 957?

GCD of 210, 864, 354, 957 is 3

2. Where do I get the detailed procedure to find GCD of 210, 864, 354, 957?

You can find a detailed procedure to find GCD of 210, 864, 354, 957 on our page.

3. How to find GCD of 210, 864, 354, 957 on a calculator?

You can find the GCD of 210, 864, 354, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.