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 742, 238, 275, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 238, 275, 161 is 1
GCD(742, 238, 275, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 238, 275, 161 is 1
GCD(742, 238, 275, 161) = 1
Given Input numbers are 742, 238, 275, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 742, 238, 275, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 238, 275, 161 is 1.
Therefore, GCD of numbers 742, 238, 275, 161 is 1
Given Input Data is 742, 238, 275, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 161 is 7 x 23
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(742, 238) = 12614
GCD(742, 238) = ( 742 x 238 ) / 12614
GCD(742, 238) = 176596 / 12614
GCD(742, 238) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 275) = 3850
GCD(14, 275) = ( 14 x 275 ) / 3850
GCD(14, 275) = 3850 / 3850
GCD(14, 275) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 742, 238, 275, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 238, 275, 161?
GCD of 742, 238, 275, 161 is 1
2. Where do I get the detailed procedure to find GCD of 742, 238, 275, 161?
You can find a detailed procedure to find GCD of 742, 238, 275, 161 on our page.
3. How to find GCD of 742, 238, 275, 161 on a calculator?
You can find the GCD of 742, 238, 275, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.