GCD of 906, 196, 77, 891 Calculator

Given Input numbers are 906, 196, 77, 891

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 906, 196, 77, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 196, 77, 891 is 1.

Therefore, GCD of numbers 906, 196, 77, 891 is 1

Given Input Data is 906, 196, 77, 891

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 196 is 2 x 2 x 7 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 196) = 88788

GCD(906, 196) = ( 906 x 196 ) / 88788

GCD(906, 196) = 177576 / 88788

GCD(906, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 906, 196, 77, 891 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 742, 28, 988
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• GCD of 160, 679, 67, 683

1. What is the GCD of 906, 196, 77, 891?

GCD of 906, 196, 77, 891 is 1

2. Where do I get the detailed procedure to find GCD of 906, 196, 77, 891?

You can find a detailed procedure to find GCD of 906, 196, 77, 891 on our page.

3. How to find GCD of 906, 196, 77, 891 on a calculator?

You can find the GCD of 906, 196, 77, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.