GCD of 714, 301, 295 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 714, 301, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 301, 295 is 1
GCD(714, 301, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 301, 295 is 1
GCD(714, 301, 295) = 1
GCDof 714,301,295 is 1
Given Input numbers are 714, 301, 295
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 714, 301, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 301, 295 is 1.
Therefore, GCD of numbers 714, 301, 295 is 1
Given Input Data is 714, 301, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 301 is 7 x 43
Prime Factorization of 295 is 5 x 59
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 714, 301, 295 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(714, 301) = 30702
GCD(714, 301) = ( 714 x 301 ) / 30702
GCD(714, 301) = 214914 / 30702
GCD(714, 301) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 295) = 2065
GCD(7, 295) = ( 7 x 295 ) / 2065
GCD(7, 295) = 2065 / 2065
GCD(7, 295) = 1
GCD of 714, 301, 295 is 1
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FAQs on GCD of numbers 714, 301, 295
1. What is the GCD of 714, 301, 295?
GCD of 714, 301, 295 is 1
2. Where do I get the detailed procedure to find GCD of 714, 301, 295?
You can find a detailed procedure to find GCD of 714, 301, 295 on our page.
3. How to find GCD of 714, 301, 295 on a calculator?
You can find the GCD of 714, 301, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.