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, 749, 781, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 749, 781, 643 is 1
GCD(897, 749, 781, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 749, 781, 643 is 1
GCD(897, 749, 781, 643) = 1
Given Input numbers are 897, 749, 781, 643
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 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 897, 749, 781, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 749, 781, 643 is 1.
Therefore, GCD of numbers 897, 749, 781, 643 is 1
Given Input Data is 897, 749, 781, 643
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 749 is 7 x 107
Prime Factorization of 781 is 11 x 71
Prime Factorization of 643 is 643
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, 749) = 671853
GCD(897, 749) = ( 897 x 749 ) / 671853
GCD(897, 749) = 671853 / 671853
GCD(897, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 897, 749, 781, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 749, 781, 643?
GCD of 897, 749, 781, 643 is 1
2. Where do I get the detailed procedure to find GCD of 897, 749, 781, 643?
You can find a detailed procedure to find GCD of 897, 749, 781, 643 on our page.
3. How to find GCD of 897, 749, 781, 643 on a calculator?
You can find the GCD of 897, 749, 781, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.