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, 734, 28, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 734, 28, 196 is 1
GCD(853, 734, 28, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 734, 28, 196 is 1
GCD(853, 734, 28, 196) = 1
Given Input numbers are 853, 734, 28, 196
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 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 853, 734, 28, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 734, 28, 196 is 1.
Therefore, GCD of numbers 853, 734, 28, 196 is 1
Given Input Data is 853, 734, 28, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 734 is 2 x 367
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 196 is 2 x 2 x 7 x 7
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, 734) = 626102
GCD(853, 734) = ( 853 x 734 ) / 626102
GCD(853, 734) = 626102 / 626102
GCD(853, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 853, 734, 28, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 734, 28, 196?
GCD of 853, 734, 28, 196 is 1
2. Where do I get the detailed procedure to find GCD of 853, 734, 28, 196?
You can find a detailed procedure to find GCD of 853, 734, 28, 196 on our page.
3. How to find GCD of 853, 734, 28, 196 on a calculator?
You can find the GCD of 853, 734, 28, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.