GCD of 992, 908, 126 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, 908, 126 i.e. 2 largest integer that divides all the numbers equally.
GCD of 992, 908, 126 is 2
GCD(992, 908, 126) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 908, 126 is 2
GCD(992, 908, 126) = 2
GCDof 992,908,126 is 2
Given Input numbers are 992, 908, 126
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 992, 908, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 908, 126 is 2.
Therefore, GCD of numbers 992, 908, 126 is 2
Given Input Data is 992, 908, 126
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 908 is 2 x 2 x 227
Prime Factorization of 126 is 2 x 3 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 992, 908, 126 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, 908) = 225184
GCD(992, 908) = ( 992 x 908 ) / 225184
GCD(992, 908) = 900736 / 225184
GCD(992, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 126) = 252
GCD(4, 126) = ( 4 x 126 ) / 252
GCD(4, 126) = 504 / 252
GCD(4, 126) = 2
GCD of 992, 908, 126 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 992, 908, 126
1. What is the GCD of 992, 908, 126?
GCD of 992, 908, 126 is 2
2. Where do I get the detailed procedure to find GCD of 992, 908, 126?
You can find a detailed procedure to find GCD of 992, 908, 126 on our page.
3. How to find GCD of 992, 908, 126 on a calculator?
You can find the GCD of 992, 908, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.