GCD of 617, 236, 450, 320 Calculator

Given Input numbers are 617, 236, 450, 320

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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

Greatest Common Divisior

We found the divisors of 617, 236, 450, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 236, 450, 320 is 1.

Therefore, GCD of numbers 617, 236, 450, 320 is 1

Given Input Data is 617, 236, 450, 320

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

Prime Factorization of 617 is 617

Prime Factorization of 236 is 2 x 2 x 59

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

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(617, 236) = 145612

GCD(617, 236) = ( 617 x 236 ) / 145612

GCD(617, 236) = 145612 / 145612

GCD(617, 236) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 617, 236, 450, 320 is 1

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1. What is the GCD of 617, 236, 450, 320?

GCD of 617, 236, 450, 320 is 1

2. Where do I get the detailed procedure to find GCD of 617, 236, 450, 320?

You can find a detailed procedure to find GCD of 617, 236, 450, 320 on our page.

3. How to find GCD of 617, 236, 450, 320 on a calculator?

You can find the GCD of 617, 236, 450, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.