GCD of 210, 768, 952, 484 Calculator

Given Input numbers are 210, 768, 952, 484

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 210, 768, 952, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 768, 952, 484 is 2.

Therefore, GCD of numbers 210, 768, 952, 484 is 2

Given Input Data is 210, 768, 952, 484

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 484 is 2 x 2 x 11 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 768) = 26880

GCD(210, 768) = ( 210 x 768 ) / 26880

GCD(210, 768) = 161280 / 26880

GCD(210, 768) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 952

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

LCM(6, 952) = 2856

GCD(6, 952) = ( 6 x 952 ) / 2856

GCD(6, 952) = 5712 / 2856

GCD(6, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

GCD of 210, 768, 952, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 444, 255, 668
• GCD of 567, 724, 110, 429
• GCD of 574, 712, 349, 452
• GCD of 376, 794, 623, 498
• GCD of 293, 998, 120, 633

1. What is the GCD of 210, 768, 952, 484?

GCD of 210, 768, 952, 484 is 2

2. Where do I get the detailed procedure to find GCD of 210, 768, 952, 484?

You can find a detailed procedure to find GCD of 210, 768, 952, 484 on our page.

3. How to find GCD of 210, 768, 952, 484 on a calculator?

You can find the GCD of 210, 768, 952, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.