GCD of 826, 336, 497 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 826, 336, 497 i.e. 7 largest integer that divides all the numbers equally.
GCD of 826, 336, 497 is 7
GCD(826, 336, 497) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 336, 497 is 7
GCD(826, 336, 497) = 7
GCDof 826,336,497 is 7
Given Input numbers are 826, 336, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 826, 336, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 336, 497 is 7.
Therefore, GCD of numbers 826, 336, 497 is 7
Given Input Data is 826, 336, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 497 is 7 x 71
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 826, 336, 497 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(826, 336) = 19824
GCD(826, 336) = ( 826 x 336 ) / 19824
GCD(826, 336) = 277536 / 19824
GCD(826, 336) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 497) = 994
GCD(14, 497) = ( 14 x 497 ) / 994
GCD(14, 497) = 6958 / 994
GCD(14, 497) = 7
GCD of 826, 336, 497 is 7
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FAQs on GCD of numbers 826, 336, 497
1. What is the GCD of 826, 336, 497?
GCD of 826, 336, 497 is 7
2. Where do I get the detailed procedure to find GCD of 826, 336, 497?
You can find a detailed procedure to find GCD of 826, 336, 497 on our page.
3. How to find GCD of 826, 336, 497 on a calculator?
You can find the GCD of 826, 336, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.