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 750, 710, 752, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 710, 752, 169 is 1
GCD(750, 710, 752, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 710, 752, 169 is 1
GCD(750, 710, 752, 169) = 1
Given Input numbers are 750, 710, 752, 169
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
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 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 750, 710, 752, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 710, 752, 169 is 1.
Therefore, GCD of numbers 750, 710, 752, 169 is 1
Given Input Data is 750, 710, 752, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 169 is 13 x 13
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(750, 710) = 53250
GCD(750, 710) = ( 750 x 710 ) / 53250
GCD(750, 710) = 532500 / 53250
GCD(750, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 752) = 3760
GCD(10, 752) = ( 10 x 752 ) / 3760
GCD(10, 752) = 7520 / 3760
GCD(10, 752) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 169) = 338
GCD(2, 169) = ( 2 x 169 ) / 338
GCD(2, 169) = 338 / 338
GCD(2, 169) = 1
GCD of 750, 710, 752, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 710, 752, 169?
GCD of 750, 710, 752, 169 is 1
2. Where do I get the detailed procedure to find GCD of 750, 710, 752, 169?
You can find a detailed procedure to find GCD of 750, 710, 752, 169 on our page.
3. How to find GCD of 750, 710, 752, 169 on a calculator?
You can find the GCD of 750, 710, 752, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.