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 897, 821, 91, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 821, 91, 760 is 1
GCD(897, 821, 91, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 821, 91, 760 is 1
GCD(897, 821, 91, 760) = 1
Given Input numbers are 897, 821, 91, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 897, 821, 91, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 821, 91, 760 is 1.
Therefore, GCD of numbers 897, 821, 91, 760 is 1
Given Input Data is 897, 821, 91, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 821 is 821
Prime Factorization of 91 is 7 x 13
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(897, 821) = 736437
GCD(897, 821) = ( 897 x 821 ) / 736437
GCD(897, 821) = 736437 / 736437
GCD(897, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 897, 821, 91, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 821, 91, 760?
GCD of 897, 821, 91, 760 is 1
2. Where do I get the detailed procedure to find GCD of 897, 821, 91, 760?
You can find a detailed procedure to find GCD of 897, 821, 91, 760 on our page.
3. How to find GCD of 897, 821, 91, 760 on a calculator?
You can find the GCD of 897, 821, 91, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.