GCD of 656, 804, 354 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 656, 804, 354 i.e. 2 largest integer that divides all the numbers equally.
GCD of 656, 804, 354 is 2
GCD(656, 804, 354) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 656, 804, 354 is 2
GCD(656, 804, 354) = 2
GCDof 656,804,354 is 2
Given Input numbers are 656, 804, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 656, 804, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 804, 354 is 2.
Therefore, GCD of numbers 656, 804, 354 is 2
Given Input Data is 656, 804, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 354 is 2 x 3 x 59
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 656, 804, 354 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(656, 804) = 131856
GCD(656, 804) = ( 656 x 804 ) / 131856
GCD(656, 804) = 527424 / 131856
GCD(656, 804) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 354) = 708
GCD(4, 354) = ( 4 x 354 ) / 708
GCD(4, 354) = 1416 / 708
GCD(4, 354) = 2
GCD of 656, 804, 354 is 2
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FAQs on GCD of numbers 656, 804, 354
1. What is the GCD of 656, 804, 354?
GCD of 656, 804, 354 is 2
2. Where do I get the detailed procedure to find GCD of 656, 804, 354?
You can find a detailed procedure to find GCD of 656, 804, 354 on our page.
3. How to find GCD of 656, 804, 354 on a calculator?
You can find the GCD of 656, 804, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.