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 874, 964, 376, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 964, 376, 799 is 1
GCD(874, 964, 376, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 964, 376, 799 is 1
GCD(874, 964, 376, 799) = 1
Given Input numbers are 874, 964, 376, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 874, 964, 376, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 964, 376, 799 is 1.
Therefore, GCD of numbers 874, 964, 376, 799 is 1
Given Input Data is 874, 964, 376, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 799 is 17 x 47
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(874, 964) = 421268
GCD(874, 964) = ( 874 x 964 ) / 421268
GCD(874, 964) = 842536 / 421268
GCD(874, 964) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
GCD(2, 376) = 752 / 376
GCD(2, 376) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 799) = 1598
GCD(2, 799) = ( 2 x 799 ) / 1598
GCD(2, 799) = 1598 / 1598
GCD(2, 799) = 1
GCD of 874, 964, 376, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 964, 376, 799?
GCD of 874, 964, 376, 799 is 1
2. Where do I get the detailed procedure to find GCD of 874, 964, 376, 799?
You can find a detailed procedure to find GCD of 874, 964, 376, 799 on our page.
3. How to find GCD of 874, 964, 376, 799 on a calculator?
You can find the GCD of 874, 964, 376, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.