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 803, 693, 56, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 693, 56, 196 is 1
GCD(803, 693, 56, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 693, 56, 196 is 1
GCD(803, 693, 56, 196) = 1
Given Input numbers are 803, 693, 56, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
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 803, 693, 56, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 693, 56, 196 is 1.
Therefore, GCD of numbers 803, 693, 56, 196 is 1
Given Input Data is 803, 693, 56, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 56 is 2 x 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(803, 693) = 50589
GCD(803, 693) = ( 803 x 693 ) / 50589
GCD(803, 693) = 556479 / 50589
GCD(803, 693) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 56) = 616
GCD(11, 56) = ( 11 x 56 ) / 616
GCD(11, 56) = 616 / 616
GCD(11, 56) = 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 803, 693, 56, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 693, 56, 196?
GCD of 803, 693, 56, 196 is 1
2. Where do I get the detailed procedure to find GCD of 803, 693, 56, 196?
You can find a detailed procedure to find GCD of 803, 693, 56, 196 on our page.
3. How to find GCD of 803, 693, 56, 196 on a calculator?
You can find the GCD of 803, 693, 56, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.