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 853, 748, 125, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 748, 125, 712 is 1
GCD(853, 748, 125, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 748, 125, 712 is 1
GCD(853, 748, 125, 712) = 1
Given Input numbers are 853, 748, 125, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 853, 748, 125, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 748, 125, 712 is 1.
Therefore, GCD of numbers 853, 748, 125, 712 is 1
Given Input Data is 853, 748, 125, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(853, 748) = 638044
GCD(853, 748) = ( 853 x 748 ) / 638044
GCD(853, 748) = 638044 / 638044
GCD(853, 748) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
GCD of 853, 748, 125, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 748, 125, 712?
GCD of 853, 748, 125, 712 is 1
2. Where do I get the detailed procedure to find GCD of 853, 748, 125, 712?
You can find a detailed procedure to find GCD of 853, 748, 125, 712 on our page.
3. How to find GCD of 853, 748, 125, 712 on a calculator?
You can find the GCD of 853, 748, 125, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.