GCD of 457, 968, 450 Calculator

Given Input numbers are 457, 968, 450

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 457, 968, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 968, 450 is 1.

Therefore, GCD of numbers 457, 968, 450 is 1

Given Input Data is 457, 968, 450

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

Prime Factorization of 457 is 457

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(457, 968) = 442376

GCD(457, 968) = ( 457 x 968 ) / 442376

GCD(457, 968) = 442376 / 442376

GCD(457, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 457, 968, 450 is 1

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1. What is the GCD of 457, 968, 450?

GCD of 457, 968, 450 is 1

2. Where do I get the detailed procedure to find GCD of 457, 968, 450?

You can find a detailed procedure to find GCD of 457, 968, 450 on our page.

3. How to find GCD of 457, 968, 450 on a calculator?

You can find the GCD of 457, 968, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.