GCD of 345, 775, 362 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 345, 775, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 775, 362 is 1
GCD(345, 775, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 775, 362 is 1
GCD(345, 775, 362) = 1
GCDof 345,775,362 is 1
Given Input numbers are 345, 775, 362
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 345, 775, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 775, 362 is 1.
Therefore, GCD of numbers 345, 775, 362 is 1
Given Input Data is 345, 775, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 362 is 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 345, 775, 362 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(345, 775) = 53475
GCD(345, 775) = ( 345 x 775 ) / 53475
GCD(345, 775) = 267375 / 53475
GCD(345, 775) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 362) = 1810
GCD(5, 362) = ( 5 x 362 ) / 1810
GCD(5, 362) = 1810 / 1810
GCD(5, 362) = 1
GCD of 345, 775, 362 is 1
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FAQs on GCD of numbers 345, 775, 362
1. What is the GCD of 345, 775, 362?
GCD of 345, 775, 362 is 1
2. Where do I get the detailed procedure to find GCD of 345, 775, 362?
You can find a detailed procedure to find GCD of 345, 775, 362 on our page.
3. How to find GCD of 345, 775, 362 on a calculator?
You can find the GCD of 345, 775, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
