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 42, 763, 981, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 763, 981, 865 is 1
GCD(42, 763, 981, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 763, 981, 865 is 1
GCD(42, 763, 981, 865) = 1
Given Input numbers are 42, 763, 981, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 42, 763, 981, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 763, 981, 865 is 1.
Therefore, GCD of numbers 42, 763, 981, 865 is 1
Given Input Data is 42, 763, 981, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 763 is 7 x 109
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 865 is 5 x 173
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(42, 763) = 4578
GCD(42, 763) = ( 42 x 763 ) / 4578
GCD(42, 763) = 32046 / 4578
GCD(42, 763) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 981) = 6867
GCD(7, 981) = ( 7 x 981 ) / 6867
GCD(7, 981) = 6867 / 6867
GCD(7, 981) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 42, 763, 981, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 763, 981, 865?
GCD of 42, 763, 981, 865 is 1
2. Where do I get the detailed procedure to find GCD of 42, 763, 981, 865?
You can find a detailed procedure to find GCD of 42, 763, 981, 865 on our page.
3. How to find GCD of 42, 763, 981, 865 on a calculator?
You can find the GCD of 42, 763, 981, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.