GCD of 903, 258, 657 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 903, 258, 657 i.e. 3 largest integer that divides all the numbers equally.
GCD of 903, 258, 657 is 3
GCD(903, 258, 657) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 258, 657 is 3
GCD(903, 258, 657) = 3
GCDof 903,258,657 is 3
Given Input numbers are 903, 258, 657
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 903, 258, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 258, 657 is 3.
Therefore, GCD of numbers 903, 258, 657 is 3
Given Input Data is 903, 258, 657
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 657 is 3 x 3 x 73
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 903, 258, 657 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(903, 258) = 1806
GCD(903, 258) = ( 903 x 258 ) / 1806
GCD(903, 258) = 232974 / 1806
GCD(903, 258) = 129
Step2:
Here we consider the GCD from the above i.e. 129 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(129, 657) = 28251
GCD(129, 657) = ( 129 x 657 ) / 28251
GCD(129, 657) = 84753 / 28251
GCD(129, 657) = 3
GCD of 903, 258, 657 is 3
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FAQs on GCD of numbers 903, 258, 657
1. What is the GCD of 903, 258, 657?
GCD of 903, 258, 657 is 3
2. Where do I get the detailed procedure to find GCD of 903, 258, 657?
You can find a detailed procedure to find GCD of 903, 258, 657 on our page.
3. How to find GCD of 903, 258, 657 on a calculator?
You can find the GCD of 903, 258, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.