GCD of 414, 906, 735, 968 Calculator

Given Input numbers are 414, 906, 735, 968

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 414, 906, 735, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 906, 735, 968 is 1.

Therefore, GCD of numbers 414, 906, 735, 968 is 1

Given Input Data is 414, 906, 735, 968

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 968 is 2 x 2 x 2 x 11 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(414, 906) = 62514

GCD(414, 906) = ( 414 x 906 ) / 62514

GCD(414, 906) = 375084 / 62514

GCD(414, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 735

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

LCM(6, 735) = 1470

GCD(6, 735) = ( 6 x 735 ) / 1470

GCD(6, 735) = 4410 / 1470

GCD(6, 735) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 968

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

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

GCD(3, 968) = 2904 / 2904

GCD(3, 968) = 1

GCD of 414, 906, 735, 968 is 1

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1. What is the GCD of 414, 906, 735, 968?

GCD of 414, 906, 735, 968 is 1

2. Where do I get the detailed procedure to find GCD of 414, 906, 735, 968?

You can find a detailed procedure to find GCD of 414, 906, 735, 968 on our page.

3. How to find GCD of 414, 906, 735, 968 on a calculator?

You can find the GCD of 414, 906, 735, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.