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 60, 997, 175, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 997, 175, 795 is 1
GCD(60, 997, 175, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 997, 175, 795 is 1
GCD(60, 997, 175, 795) = 1
Given Input numbers are 60, 997, 175, 795
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 60, 997, 175, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 997, 175, 795 is 1.
Therefore, GCD of numbers 60, 997, 175, 795 is 1
Given Input Data is 60, 997, 175, 795
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 997 is 997
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 795 is 3 x 5 x 53
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(60, 997) = 59820
GCD(60, 997) = ( 60 x 997 ) / 59820
GCD(60, 997) = 59820 / 59820
GCD(60, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 795) = 795
GCD(1, 795) = ( 1 x 795 ) / 795
GCD(1, 795) = 795 / 795
GCD(1, 795) = 1
GCD of 60, 997, 175, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 997, 175, 795?
GCD of 60, 997, 175, 795 is 1
2. Where do I get the detailed procedure to find GCD of 60, 997, 175, 795?
You can find a detailed procedure to find GCD of 60, 997, 175, 795 on our page.
3. How to find GCD of 60, 997, 175, 795 on a calculator?
You can find the GCD of 60, 997, 175, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.