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 575, 126, 74, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 126, 74, 161 is 1
GCD(575, 126, 74, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 126, 74, 161 is 1
GCD(575, 126, 74, 161) = 1
Given Input numbers are 575, 126, 74, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
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 575, 126, 74, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 126, 74, 161 is 1.
Therefore, GCD of numbers 575, 126, 74, 161 is 1
Given Input Data is 575, 126, 74, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 74 is 2 x 37
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(575, 126) = 72450
GCD(575, 126) = ( 575 x 126 ) / 72450
GCD(575, 126) = 72450 / 72450
GCD(575, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 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 575, 126, 74, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 126, 74, 161?
GCD of 575, 126, 74, 161 is 1
2. Where do I get the detailed procedure to find GCD of 575, 126, 74, 161?
You can find a detailed procedure to find GCD of 575, 126, 74, 161 on our page.
3. How to find GCD of 575, 126, 74, 161 on a calculator?
You can find the GCD of 575, 126, 74, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.