GCD of 906, 918, 64, 213 Calculator

Given Input numbers are 906, 918, 64, 213

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 906, 918, 64, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 918, 64, 213 is 1.

Therefore, GCD of numbers 906, 918, 64, 213 is 1

Given Input Data is 906, 918, 64, 213

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 213 is 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

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(906, 918) = 138618

GCD(906, 918) = ( 906 x 918 ) / 138618

GCD(906, 918) = 831708 / 138618

GCD(906, 918) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 64

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

LCM(6, 64) = 192

GCD(6, 64) = ( 6 x 64 ) / 192

GCD(6, 64) = 384 / 192

GCD(6, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 906, 918, 64, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 926, 74, 982
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• GCD of 153, 814, 82, 904
• GCD of 614, 630, 96, 886
• GCD of 381, 937, 49, 163

1. What is the GCD of 906, 918, 64, 213?

GCD of 906, 918, 64, 213 is 1

2. Where do I get the detailed procedure to find GCD of 906, 918, 64, 213?

You can find a detailed procedure to find GCD of 906, 918, 64, 213 on our page.

3. How to find GCD of 906, 918, 64, 213 on a calculator?

You can find the GCD of 906, 918, 64, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.