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 260, 605, 962, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 605, 962, 375 is 1
GCD(260, 605, 962, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 605, 962, 375 is 1
GCD(260, 605, 962, 375) = 1
Given Input numbers are 260, 605, 962, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 260, 605, 962, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 605, 962, 375 is 1.
Therefore, GCD of numbers 260, 605, 962, 375 is 1
Given Input Data is 260, 605, 962, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(260, 605) = 31460
GCD(260, 605) = ( 260 x 605 ) / 31460
GCD(260, 605) = 157300 / 31460
GCD(260, 605) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 962) = 4810
GCD(5, 962) = ( 5 x 962 ) / 4810
GCD(5, 962) = 4810 / 4810
GCD(5, 962) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 260, 605, 962, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 605, 962, 375?
GCD of 260, 605, 962, 375 is 1
2. Where do I get the detailed procedure to find GCD of 260, 605, 962, 375?
You can find a detailed procedure to find GCD of 260, 605, 962, 375 on our page.
3. How to find GCD of 260, 605, 962, 375 on a calculator?
You can find the GCD of 260, 605, 962, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.