GCD of 752, 617, 320, 598 Calculator

Given Input numbers are 752, 617, 320, 598

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 617

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

1, 617

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 752, 617, 320, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 617, 320, 598 is 1.

Therefore, GCD of numbers 752, 617, 320, 598 is 1

Given Input Data is 752, 617, 320, 598

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 617 is 617

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

Prime Factorization of 598 is 2 x 13 x 23

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(752, 617) = 463984

GCD(752, 617) = ( 752 x 617 ) / 463984

GCD(752, 617) = 463984 / 463984

GCD(752, 617) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 752, 617, 320, 598 is 1

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1. What is the GCD of 752, 617, 320, 598?

GCD of 752, 617, 320, 598 is 1

2. Where do I get the detailed procedure to find GCD of 752, 617, 320, 598?

You can find a detailed procedure to find GCD of 752, 617, 320, 598 on our page.

3. How to find GCD of 752, 617, 320, 598 on a calculator?

You can find the GCD of 752, 617, 320, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.