GCD of 906, 946, 147, 814 Calculator

Given Input numbers are 906, 946, 147, 814

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 906, 946, 147, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 946, 147, 814 is 1.

Therefore, GCD of numbers 906, 946, 147, 814 is 1

Given Input Data is 906, 946, 147, 814

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 946 is 2 x 11 x 43

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 814 is 2 x 11 x 37

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, 946) = 428538

GCD(906, 946) = ( 906 x 946 ) / 428538

GCD(906, 946) = 857076 / 428538

GCD(906, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 906, 946, 147, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 372, 847, 108
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• GCD of 805, 307, 494, 426
• GCD of 459, 323, 928, 146

1. What is the GCD of 906, 946, 147, 814?

GCD of 906, 946, 147, 814 is 1

2. Where do I get the detailed procedure to find GCD of 906, 946, 147, 814?

You can find a detailed procedure to find GCD of 906, 946, 147, 814 on our page.

3. How to find GCD of 906, 946, 147, 814 on a calculator?

You can find the GCD of 906, 946, 147, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.