GCD of 606, 906, 736, 940 Calculator

Given Input numbers are 606, 906, 736, 940

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

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 606, 906, 736, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 906, 736, 940 is 2.

Therefore, GCD of numbers 606, 906, 736, 940 is 2

Given Input Data is 606, 906, 736, 940

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

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 906 is 2 x 3 x 151

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(606, 906) = 91506

GCD(606, 906) = ( 606 x 906 ) / 91506

GCD(606, 906) = 549036 / 91506

GCD(606, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 736

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

LCM(6, 736) = 2208

GCD(6, 736) = ( 6 x 736 ) / 2208

GCD(6, 736) = 4416 / 2208

GCD(6, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

GCD of 606, 906, 736, 940 is 2

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1. What is the GCD of 606, 906, 736, 940?

GCD of 606, 906, 736, 940 is 2

2. Where do I get the detailed procedure to find GCD of 606, 906, 736, 940?

You can find a detailed procedure to find GCD of 606, 906, 736, 940 on our page.

3. How to find GCD of 606, 906, 736, 940 on a calculator?

You can find the GCD of 606, 906, 736, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.