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 375, 726, 984, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 726, 984, 964 is 1
GCD(375, 726, 984, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 726, 984, 964 is 1
GCD(375, 726, 984, 964) = 1
Given Input numbers are 375, 726, 984, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 375, 726, 984, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 726, 984, 964 is 1.
Therefore, GCD of numbers 375, 726, 984, 964 is 1
Given Input Data is 375, 726, 984, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 964 is 2 x 2 x 241
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(375, 726) = 90750
GCD(375, 726) = ( 375 x 726 ) / 90750
GCD(375, 726) = 272250 / 90750
GCD(375, 726) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 984) = 984
GCD(3, 984) = ( 3 x 984 ) / 984
GCD(3, 984) = 2952 / 984
GCD(3, 984) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 964) = 2892
GCD(3, 964) = ( 3 x 964 ) / 2892
GCD(3, 964) = 2892 / 2892
GCD(3, 964) = 1
GCD of 375, 726, 984, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 726, 984, 964?
GCD of 375, 726, 984, 964 is 1
2. Where do I get the detailed procedure to find GCD of 375, 726, 984, 964?
You can find a detailed procedure to find GCD of 375, 726, 984, 964 on our page.
3. How to find GCD of 375, 726, 984, 964 on a calculator?
You can find the GCD of 375, 726, 984, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.