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 65, 787, 322, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 787, 322, 948 is 1
GCD(65, 787, 322, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 787, 322, 948 is 1
GCD(65, 787, 322, 948) = 1
Given Input numbers are 65, 787, 322, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 65, 787, 322, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 787, 322, 948 is 1.
Therefore, GCD of numbers 65, 787, 322, 948 is 1
Given Input Data is 65, 787, 322, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 787 is 787
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(65, 787) = 51155
GCD(65, 787) = ( 65 x 787 ) / 51155
GCD(65, 787) = 51155 / 51155
GCD(65, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 65, 787, 322, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 787, 322, 948?
GCD of 65, 787, 322, 948 is 1
2. Where do I get the detailed procedure to find GCD of 65, 787, 322, 948?
You can find a detailed procedure to find GCD of 65, 787, 322, 948 on our page.
3. How to find GCD of 65, 787, 322, 948 on a calculator?
You can find the GCD of 65, 787, 322, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.