GCD of 466, 553, 409, 968 Calculator

Given Input numbers are 466, 553, 409, 968

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 466, 553, 409, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 553, 409, 968 is 1.

Therefore, GCD of numbers 466, 553, 409, 968 is 1

Given Input Data is 466, 553, 409, 968

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 553 is 7 x 79

Prime Factorization of 409 is 409

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(466, 553) = 257698

GCD(466, 553) = ( 466 x 553 ) / 257698

GCD(466, 553) = 257698 / 257698

GCD(466, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 466, 553, 409, 968 is 1

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1. What is the GCD of 466, 553, 409, 968?

GCD of 466, 553, 409, 968 is 1

2. Where do I get the detailed procedure to find GCD of 466, 553, 409, 968?

You can find a detailed procedure to find GCD of 466, 553, 409, 968 on our page.

3. How to find GCD of 466, 553, 409, 968 on a calculator?

You can find the GCD of 466, 553, 409, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.