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, 369, 767, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 369, 767, 431 is 1
GCD(464, 369, 767, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 369, 767, 431 is 1
GCD(464, 369, 767, 431) = 1
Given Input numbers are 464, 369, 767, 431
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 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 464, 369, 767, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 369, 767, 431 is 1.
Therefore, GCD of numbers 464, 369, 767, 431 is 1
Given Input Data is 464, 369, 767, 431
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 369 is 3 x 3 x 41
Prime Factorization of 767 is 13 x 59
Prime Factorization of 431 is 431
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, 369) = 171216
GCD(464, 369) = ( 464 x 369 ) / 171216
GCD(464, 369) = 171216 / 171216
GCD(464, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 464, 369, 767, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 369, 767, 431?
GCD of 464, 369, 767, 431 is 1
2. Where do I get the detailed procedure to find GCD of 464, 369, 767, 431?
You can find a detailed procedure to find GCD of 464, 369, 767, 431 on our page.
3. How to find GCD of 464, 369, 767, 431 on a calculator?
You can find the GCD of 464, 369, 767, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.