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 675, 858, 135, 752 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 858, 135, 752 is 1
GCD(675, 858, 135, 752) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 858, 135, 752 is 1
GCD(675, 858, 135, 752) = 1
Given Input numbers are 675, 858, 135, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
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
Greatest Common Divisior
We found the divisors of 675, 858, 135, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 858, 135, 752 is 1.
Therefore, GCD of numbers 675, 858, 135, 752 is 1
Given Input Data is 675, 858, 135, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
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(675, 858) = 193050
GCD(675, 858) = ( 675 x 858 ) / 193050
GCD(675, 858) = 579150 / 193050
GCD(675, 858) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
GCD(3, 135) = 405 / 135
GCD(3, 135) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 752) = 2256
GCD(3, 752) = ( 3 x 752 ) / 2256
GCD(3, 752) = 2256 / 2256
GCD(3, 752) = 1
GCD of 675, 858, 135, 752 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 858, 135, 752?
GCD of 675, 858, 135, 752 is 1
2. Where do I get the detailed procedure to find GCD of 675, 858, 135, 752?
You can find a detailed procedure to find GCD of 675, 858, 135, 752 on our page.
3. How to find GCD of 675, 858, 135, 752 on a calculator?
You can find the GCD of 675, 858, 135, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.