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 numbers 752, 168, 978, 575 is 1
GCD(752, 168, 978, 575) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.