GCD of 900, 736, 262, 210 Calculator

Given Input numbers are 900, 736, 262, 210

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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

Greatest Common Divisior

We found the divisors of 900, 736, 262, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 736, 262, 210 is 2.

Therefore, GCD of numbers 900, 736, 262, 210 is 2

Given Input Data is 900, 736, 262, 210

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 262 is 2 x 131

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

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(900, 736) = 165600

GCD(900, 736) = ( 900 x 736 ) / 165600

GCD(900, 736) = 662400 / 165600

GCD(900, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 262

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

LCM(4, 262) = 524

GCD(4, 262) = ( 4 x 262 ) / 524

GCD(4, 262) = 1048 / 524

GCD(4, 262) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 900, 736, 262, 210 is 2

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1. What is the GCD of 900, 736, 262, 210?

GCD of 900, 736, 262, 210 is 2

2. Where do I get the detailed procedure to find GCD of 900, 736, 262, 210?

You can find a detailed procedure to find GCD of 900, 736, 262, 210 on our page.

3. How to find GCD of 900, 736, 262, 210 on a calculator?

You can find the GCD of 900, 736, 262, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.