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 710, 225, 746, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 225, 746, 275 is 1
GCD(710, 225, 746, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 225, 746, 275 is 1
GCD(710, 225, 746, 275) = 1
Given Input numbers are 710, 225, 746, 275
To find the GCD of numbers using factoring list out all the divisors of each number
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 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 710, 225, 746, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 225, 746, 275 is 1.
Therefore, GCD of numbers 710, 225, 746, 275 is 1
Given Input Data is 710, 225, 746, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 746 is 2 x 373
Prime Factorization of 275 is 5 x 5 x 11
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(710, 225) = 31950
GCD(710, 225) = ( 710 x 225 ) / 31950
GCD(710, 225) = 159750 / 31950
GCD(710, 225) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 746) = 3730
GCD(5, 746) = ( 5 x 746 ) / 3730
GCD(5, 746) = 3730 / 3730
GCD(5, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 710, 225, 746, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 225, 746, 275?
GCD of 710, 225, 746, 275 is 1
2. Where do I get the detailed procedure to find GCD of 710, 225, 746, 275?
You can find a detailed procedure to find GCD of 710, 225, 746, 275 on our page.
3. How to find GCD of 710, 225, 746, 275 on a calculator?
You can find the GCD of 710, 225, 746, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.