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 953, 706, 75, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 953, 706, 75, 853 is 1
GCD(953, 706, 75, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 953, 706, 75, 853 is 1
GCD(953, 706, 75, 853) = 1
Given Input numbers are 953, 706, 75, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 953, 706, 75, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 706, 75, 853 is 1.
Therefore, GCD of numbers 953, 706, 75, 853 is 1
Given Input Data is 953, 706, 75, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 953 is 953
Prime Factorization of 706 is 2 x 353
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 853 is 853
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(953, 706) = 672818
GCD(953, 706) = ( 953 x 706 ) / 672818
GCD(953, 706) = 672818 / 672818
GCD(953, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 953, 706, 75, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 953, 706, 75, 853?
GCD of 953, 706, 75, 853 is 1
2. Where do I get the detailed procedure to find GCD of 953, 706, 75, 853?
You can find a detailed procedure to find GCD of 953, 706, 75, 853 on our page.
3. How to find GCD of 953, 706, 75, 853 on a calculator?
You can find the GCD of 953, 706, 75, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.