GCD of 992, 776, 682 Calculator
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 992, 776, 682 i.e. 2 largest integer that divides all the numbers equally.
GCD of 992, 776, 682 is 2
GCD(992, 776, 682) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 776, 682 is 2
GCD(992, 776, 682) = 2
GCDof 992,776,682 is 2
Given Input numbers are 992, 776, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 992, 776, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 776, 682 is 2.
Therefore, GCD of numbers 992, 776, 682 is 2
Given Input Data is 992, 776, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 682 is 2 x 11 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 992, 776, 682 using LCM Formula
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(992, 776) = 96224
GCD(992, 776) = ( 992 x 776 ) / 96224
GCD(992, 776) = 769792 / 96224
GCD(992, 776) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 682) = 2728
GCD(8, 682) = ( 8 x 682 ) / 2728
GCD(8, 682) = 5456 / 2728
GCD(8, 682) = 2
GCD of 992, 776, 682 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 992, 776, 682
1. What is the GCD of 992, 776, 682?
GCD of 992, 776, 682 is 2
2. Where do I get the detailed procedure to find GCD of 992, 776, 682?
You can find a detailed procedure to find GCD of 992, 776, 682 on our page.
3. How to find GCD of 992, 776, 682 on a calculator?
You can find the GCD of 992, 776, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.