GCD of 752, 168, 978, 575 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 752, 168, 978, 575 i.e. 1 largest integer that divides all the numbers equally.

GCD of 752, 168, 978, 575 is 1

GCD(752, 168, 978, 575) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 752, 168, 978, 575 is 1

GCD(752, 168, 978, 575) = 1

GCD of 752,168,978,575 Calculator

GCDof 752,168,978,575 is 1

Given Input numbers are 752, 168, 978, 575

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 752, 168, 978, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 168, 978, 575 is 1.

Therefore, GCD of numbers 752, 168, 978, 575 is 1

Finding GCD of 752, 168, 978, 575 using Prime Factorization

Given Input Data is 752, 168, 978, 575

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 575 is 5 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 752, 168, 978, 575 using LCM Formula

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, 168) = 15792

GCD(752, 168) = ( 752 x 168 ) / 15792

GCD(752, 168) = 126336 / 15792

GCD(752, 168) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 978

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

LCM(8, 978) = 3912

GCD(8, 978) = ( 8 x 978 ) / 3912

GCD(8, 978) = 7824 / 3912

GCD(8, 978) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

GCD of 752, 168, 978, 575 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 168, 978, 575

1. What is the GCD of 752, 168, 978, 575?

GCD of 752, 168, 978, 575 is 1


2. Where do I get the detailed procedure to find GCD of 752, 168, 978, 575?

You can find a detailed procedure to find GCD of 752, 168, 978, 575 on our page.


3. How to find GCD of 752, 168, 978, 575 on a calculator?

You can find the GCD of 752, 168, 978, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.