GCD of 906, 708, 74, 927 Calculator

Given Input numbers are 906, 708, 74, 927

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 906, 708, 74, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 708, 74, 927 is 1.

Therefore, GCD of numbers 906, 708, 74, 927 is 1

Given Input Data is 906, 708, 74, 927

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 74 is 2 x 37

Prime Factorization of 927 is 3 x 3 x 103

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, 708) = 106908

GCD(906, 708) = ( 906 x 708 ) / 106908

GCD(906, 708) = 641448 / 106908

GCD(906, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 74

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

LCM(6, 74) = 222

GCD(6, 74) = ( 6 x 74 ) / 222

GCD(6, 74) = 444 / 222

GCD(6, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 927

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

LCM(2, 927) = 1854

GCD(2, 927) = ( 2 x 927 ) / 1854

GCD(2, 927) = 1854 / 1854

GCD(2, 927) = 1

GCD of 906, 708, 74, 927 is 1

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1. What is the GCD of 906, 708, 74, 927?

GCD of 906, 708, 74, 927 is 1

2. Where do I get the detailed procedure to find GCD of 906, 708, 74, 927?

You can find a detailed procedure to find GCD of 906, 708, 74, 927 on our page.

3. How to find GCD of 906, 708, 74, 927 on a calculator?

You can find the GCD of 906, 708, 74, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.