GCD of 514, 724, 69 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 514, 724, 69 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 724, 69 is 1
GCD(514, 724, 69) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 724, 69 is 1
GCD(514, 724, 69) = 1
GCDof 514,724,69 is 1
Given Input numbers are 514, 724, 69
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Greatest Common Divisior
We found the divisors of 514, 724, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 724, 69 is 1.
Therefore, GCD of numbers 514, 724, 69 is 1
Given Input Data is 514, 724, 69
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 69 is 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 514, 724, 69 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(514, 724) = 186068
GCD(514, 724) = ( 514 x 724 ) / 186068
GCD(514, 724) = 372136 / 186068
GCD(514, 724) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
GCD of 514, 724, 69 is 1
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FAQs on GCD of numbers 514, 724, 69
1. What is the GCD of 514, 724, 69?
GCD of 514, 724, 69 is 1
2. Where do I get the detailed procedure to find GCD of 514, 724, 69?
You can find a detailed procedure to find GCD of 514, 724, 69 on our page.
3. How to find GCD of 514, 724, 69 on a calculator?
You can find the GCD of 514, 724, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
