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 69, 853, 724, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 853, 724, 953 is 1
GCD(69, 853, 724, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 853, 724, 953 is 1
GCD(69, 853, 724, 953) = 1
Given Input numbers are 69, 853, 724, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 69, 853, 724, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 853, 724, 953 is 1.
Therefore, GCD of numbers 69, 853, 724, 953 is 1
Given Input Data is 69, 853, 724, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 853 is 853
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 953 is 953
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(69, 853) = 58857
GCD(69, 853) = ( 69 x 853 ) / 58857
GCD(69, 853) = 58857 / 58857
GCD(69, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 69, 853, 724, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 853, 724, 953?
GCD of 69, 853, 724, 953 is 1
2. Where do I get the detailed procedure to find GCD of 69, 853, 724, 953?
You can find a detailed procedure to find GCD of 69, 853, 724, 953 on our page.
3. How to find GCD of 69, 853, 724, 953 on a calculator?
You can find the GCD of 69, 853, 724, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.