GCD of 309, 645, 91 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 309, 645, 91 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 645, 91 is 1
GCD(309, 645, 91) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 645, 91 is 1
GCD(309, 645, 91) = 1
GCDof 309,645,91 is 1
Given Input numbers are 309, 645, 91
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Greatest Common Divisior
We found the divisors of 309, 645, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 645, 91 is 1.
Therefore, GCD of numbers 309, 645, 91 is 1
Given Input Data is 309, 645, 91
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 91 is 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 309, 645, 91 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(309, 645) = 66435
GCD(309, 645) = ( 309 x 645 ) / 66435
GCD(309, 645) = 199305 / 66435
GCD(309, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 91) = 273
GCD(3, 91) = ( 3 x 91 ) / 273
GCD(3, 91) = 273 / 273
GCD(3, 91) = 1
GCD of 309, 645, 91 is 1
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FAQs on GCD of numbers 309, 645, 91
1. What is the GCD of 309, 645, 91?
GCD of 309, 645, 91 is 1
2. Where do I get the detailed procedure to find GCD of 309, 645, 91?
You can find a detailed procedure to find GCD of 309, 645, 91 on our page.
3. How to find GCD of 309, 645, 91 on a calculator?
You can find the GCD of 309, 645, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.