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 175, 182, 890, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 182, 890, 750 is 1
GCD(175, 182, 890, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 182, 890, 750 is 1
GCD(175, 182, 890, 750) = 1
Given Input numbers are 175, 182, 890, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
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
Greatest Common Divisior
We found the divisors of 175, 182, 890, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 182, 890, 750 is 1.
Therefore, GCD of numbers 175, 182, 890, 750 is 1
Given Input Data is 175, 182, 890, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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(175, 182) = 4550
GCD(175, 182) = ( 175 x 182 ) / 4550
GCD(175, 182) = 31850 / 4550
GCD(175, 182) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 890) = 6230
GCD(7, 890) = ( 7 x 890 ) / 6230
GCD(7, 890) = 6230 / 6230
GCD(7, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 175, 182, 890, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 182, 890, 750?
GCD of 175, 182, 890, 750 is 1
2. Where do I get the detailed procedure to find GCD of 175, 182, 890, 750?
You can find a detailed procedure to find GCD of 175, 182, 890, 750 on our page.
3. How to find GCD of 175, 182, 890, 750 on a calculator?
You can find the GCD of 175, 182, 890, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.