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 741, 275, 70, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 275, 70, 215 is 1
GCD(741, 275, 70, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 275, 70, 215 is 1
GCD(741, 275, 70, 215) = 1
Given Input numbers are 741, 275, 70, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 741, 275, 70, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 275, 70, 215 is 1.
Therefore, GCD of numbers 741, 275, 70, 215 is 1
Given Input Data is 741, 275, 70, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 215 is 5 x 43
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(741, 275) = 203775
GCD(741, 275) = ( 741 x 275 ) / 203775
GCD(741, 275) = 203775 / 203775
GCD(741, 275) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 741, 275, 70, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 275, 70, 215?
GCD of 741, 275, 70, 215 is 1
2. Where do I get the detailed procedure to find GCD of 741, 275, 70, 215?
You can find a detailed procedure to find GCD of 741, 275, 70, 215 on our page.
3. How to find GCD of 741, 275, 70, 215 on a calculator?
You can find the GCD of 741, 275, 70, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.