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 807, 213, 65, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 213, 65, 963 is 1
GCD(807, 213, 65, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 213, 65, 963 is 1
GCD(807, 213, 65, 963) = 1
Given Input numbers are 807, 213, 65, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 807, 213, 65, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 213, 65, 963 is 1.
Therefore, GCD of numbers 807, 213, 65, 963 is 1
Given Input Data is 807, 213, 65, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 213 is 3 x 71
Prime Factorization of 65 is 5 x 13
Prime Factorization of 963 is 3 x 3 x 107
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(807, 213) = 57297
GCD(807, 213) = ( 807 x 213 ) / 57297
GCD(807, 213) = 171891 / 57297
GCD(807, 213) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 65) = 195
GCD(3, 65) = ( 3 x 65 ) / 195
GCD(3, 65) = 195 / 195
GCD(3, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 807, 213, 65, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 213, 65, 963?
GCD of 807, 213, 65, 963 is 1
2. Where do I get the detailed procedure to find GCD of 807, 213, 65, 963?
You can find a detailed procedure to find GCD of 807, 213, 65, 963 on our page.
3. How to find GCD of 807, 213, 65, 963 on a calculator?
You can find the GCD of 807, 213, 65, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.