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 740, 872, 963, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 872, 963, 295 is 1
GCD(740, 872, 963, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 872, 963, 295 is 1
GCD(740, 872, 963, 295) = 1
Given Input numbers are 740, 872, 963, 295
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 740, 872, 963, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 872, 963, 295 is 1.
Therefore, GCD of numbers 740, 872, 963, 295 is 1
Given Input Data is 740, 872, 963, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 295 is 5 x 59
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(740, 872) = 161320
GCD(740, 872) = ( 740 x 872 ) / 161320
GCD(740, 872) = 645280 / 161320
GCD(740, 872) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 963) = 3852
GCD(4, 963) = ( 4 x 963 ) / 3852
GCD(4, 963) = 3852 / 3852
GCD(4, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
GCD of 740, 872, 963, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 872, 963, 295?
GCD of 740, 872, 963, 295 is 1
2. Where do I get the detailed procedure to find GCD of 740, 872, 963, 295?
You can find a detailed procedure to find GCD of 740, 872, 963, 295 on our page.
3. How to find GCD of 740, 872, 963, 295 on a calculator?
You can find the GCD of 740, 872, 963, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.