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 464, 232, 65, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 232, 65, 782 is 1
GCD(464, 232, 65, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 232, 65, 782 is 1
GCD(464, 232, 65, 782) = 1
Given Input numbers are 464, 232, 65, 782
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 464, 232, 65, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 232, 65, 782 is 1.
Therefore, GCD of numbers 464, 232, 65, 782 is 1
Given Input Data is 464, 232, 65, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 65 is 5 x 13
Prime Factorization of 782 is 2 x 17 x 23
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(464, 232) = 464
GCD(464, 232) = ( 464 x 232 ) / 464
GCD(464, 232) = 107648 / 464
GCD(464, 232) = 232
Step2:
Here we consider the GCD from the above i.e. 232 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(232, 65) = 15080
GCD(232, 65) = ( 232 x 65 ) / 15080
GCD(232, 65) = 15080 / 15080
GCD(232, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 464, 232, 65, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 232, 65, 782?
GCD of 464, 232, 65, 782 is 1
2. Where do I get the detailed procedure to find GCD of 464, 232, 65, 782?
You can find a detailed procedure to find GCD of 464, 232, 65, 782 on our page.
3. How to find GCD of 464, 232, 65, 782 on a calculator?
You can find the GCD of 464, 232, 65, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.