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 724, 349, 995, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 349, 995, 664 is 1
GCD(724, 349, 995, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 349, 995, 664 is 1
GCD(724, 349, 995, 664) = 1
Given Input numbers are 724, 349, 995, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 724, 349, 995, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 349, 995, 664 is 1.
Therefore, GCD of numbers 724, 349, 995, 664 is 1
Given Input Data is 724, 349, 995, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 349 is 349
Prime Factorization of 995 is 5 x 199
Prime Factorization of 664 is 2 x 2 x 2 x 83
The above numbers do not have any common prime factor. So GCD is 1
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(724, 349) = 252676
GCD(724, 349) = ( 724 x 349 ) / 252676
GCD(724, 349) = 252676 / 252676
GCD(724, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 724, 349, 995, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 349, 995, 664?
GCD of 724, 349, 995, 664 is 1
2. Where do I get the detailed procedure to find GCD of 724, 349, 995, 664?
You can find a detailed procedure to find GCD of 724, 349, 995, 664 on our page.
3. How to find GCD of 724, 349, 995, 664 on a calculator?
You can find the GCD of 724, 349, 995, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.