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 432, 964, 511, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 964, 511, 760 is 1
GCD(432, 964, 511, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 964, 511, 760 is 1
GCD(432, 964, 511, 760) = 1
Given Input numbers are 432, 964, 511, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 432, 964, 511, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 964, 511, 760 is 1.
Therefore, GCD of numbers 432, 964, 511, 760 is 1
Given Input Data is 432, 964, 511, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 511 is 7 x 73
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(432, 964) = 104112
GCD(432, 964) = ( 432 x 964 ) / 104112
GCD(432, 964) = 416448 / 104112
GCD(432, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 511) = 2044
GCD(4, 511) = ( 4 x 511 ) / 2044
GCD(4, 511) = 2044 / 2044
GCD(4, 511) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 432, 964, 511, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 964, 511, 760?
GCD of 432, 964, 511, 760 is 1
2. Where do I get the detailed procedure to find GCD of 432, 964, 511, 760?
You can find a detailed procedure to find GCD of 432, 964, 511, 760 on our page.
3. How to find GCD of 432, 964, 511, 760 on a calculator?
You can find the GCD of 432, 964, 511, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.