GCD of 450, 320, 398, 762 Calculator

Given Input numbers are 450, 320, 398, 762

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

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 450, 320, 398, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 320, 398, 762 is 2.

Therefore, GCD of numbers 450, 320, 398, 762 is 2

Given Input Data is 450, 320, 398, 762

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

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 398 is 2 x 199

Prime Factorization of 762 is 2 x 3 x 127

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(450, 320) = 14400

GCD(450, 320) = ( 450 x 320 ) / 14400

GCD(450, 320) = 144000 / 14400

GCD(450, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 398

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

LCM(10, 398) = 1990

GCD(10, 398) = ( 10 x 398 ) / 1990

GCD(10, 398) = 3980 / 1990

GCD(10, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 450, 320, 398, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 853, 710, 679
• GCD of 161, 608, 506, 472
• GCD of 878, 386, 619, 736
• GCD of 449, 207, 798, 122
• GCD of 808, 239, 636, 267

1. What is the GCD of 450, 320, 398, 762?

GCD of 450, 320, 398, 762 is 2

2. Where do I get the detailed procedure to find GCD of 450, 320, 398, 762?

You can find a detailed procedure to find GCD of 450, 320, 398, 762 on our page.

3. How to find GCD of 450, 320, 398, 762 on a calculator?

You can find the GCD of 450, 320, 398, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.