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 976, 752, 92 i.e. 4 largest integer that divides all the numbers equally.
GCD of 976, 752, 92 is 4
GCD(976, 752, 92) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 752, 92 is 4
GCD(976, 752, 92) = 4
Given Input numbers are 976, 752, 92
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Greatest Common Divisior
We found the divisors of 976, 752, 92 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 752, 92 is 4.
Therefore, GCD of numbers 976, 752, 92 is 4
Given Input Data is 976, 752, 92
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 92 is 2 x 2 x 23
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(976, 752) = 45872
GCD(976, 752) = ( 976 x 752 ) / 45872
GCD(976, 752) = 733952 / 45872
GCD(976, 752) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 92) = 368
GCD(16, 92) = ( 16 x 92 ) / 368
GCD(16, 92) = 1472 / 368
GCD(16, 92) = 4
GCD of 976, 752, 92 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 752, 92?
GCD of 976, 752, 92 is 4
2. Where do I get the detailed procedure to find GCD of 976, 752, 92?
You can find a detailed procedure to find GCD of 976, 752, 92 on our page.
3. How to find GCD of 976, 752, 92 on a calculator?
You can find the GCD of 976, 752, 92 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.