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 763, 224, 701, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 224, 701, 797 is 1
GCD(763, 224, 701, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 224, 701, 797 is 1
GCD(763, 224, 701, 797) = 1
Given Input numbers are 763, 224, 701, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 763, 224, 701, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 224, 701, 797 is 1.
Therefore, GCD of numbers 763, 224, 701, 797 is 1
Given Input Data is 763, 224, 701, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 701 is 701
Prime Factorization of 797 is 797
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(763, 224) = 24416
GCD(763, 224) = ( 763 x 224 ) / 24416
GCD(763, 224) = 170912 / 24416
GCD(763, 224) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 701) = 4907
GCD(7, 701) = ( 7 x 701 ) / 4907
GCD(7, 701) = 4907 / 4907
GCD(7, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 763, 224, 701, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 224, 701, 797?
GCD of 763, 224, 701, 797 is 1
2. Where do I get the detailed procedure to find GCD of 763, 224, 701, 797?
You can find a detailed procedure to find GCD of 763, 224, 701, 797 on our page.
3. How to find GCD of 763, 224, 701, 797 on a calculator?
You can find the GCD of 763, 224, 701, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.