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 961, 540, 76, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 540, 76, 375 is 1
GCD(961, 540, 76, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 540, 76, 375 is 1
GCD(961, 540, 76, 375) = 1
Given Input numbers are 961, 540, 76, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
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 961, 540, 76, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 540, 76, 375 is 1.
Therefore, GCD of numbers 961, 540, 76, 375 is 1
Given Input Data is 961, 540, 76, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 76 is 2 x 2 x 19
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(961, 540) = 518940
GCD(961, 540) = ( 961 x 540 ) / 518940
GCD(961, 540) = 518940 / 518940
GCD(961, 540) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 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 961, 540, 76, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 540, 76, 375?
GCD of 961, 540, 76, 375 is 1
2. Where do I get the detailed procedure to find GCD of 961, 540, 76, 375?
You can find a detailed procedure to find GCD of 961, 540, 76, 375 on our page.
3. How to find GCD of 961, 540, 76, 375 on a calculator?
You can find the GCD of 961, 540, 76, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.