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, 993, 61, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 993, 61, 376 is 1
GCD(175, 993, 61, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 993, 61, 376 is 1
GCD(175, 993, 61, 376) = 1
Given Input numbers are 175, 993, 61, 376
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 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 175, 993, 61, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 993, 61, 376 is 1.
Therefore, GCD of numbers 175, 993, 61, 376 is 1
Given Input Data is 175, 993, 61, 376
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 993 is 3 x 331
Prime Factorization of 61 is 61
Prime Factorization of 376 is 2 x 2 x 2 x 47
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, 993) = 173775
GCD(175, 993) = ( 175 x 993 ) / 173775
GCD(175, 993) = 173775 / 173775
GCD(175, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 175, 993, 61, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 993, 61, 376?
GCD of 175, 993, 61, 376 is 1
2. Where do I get the detailed procedure to find GCD of 175, 993, 61, 376?
You can find a detailed procedure to find GCD of 175, 993, 61, 376 on our page.
3. How to find GCD of 175, 993, 61, 376 on a calculator?
You can find the GCD of 175, 993, 61, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.