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 511, 945, 32, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 945, 32, 964 is 1
GCD(511, 945, 32, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 945, 32, 964 is 1
GCD(511, 945, 32, 964) = 1
Given Input numbers are 511, 945, 32, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 511, 945, 32, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 945, 32, 964 is 1.
Therefore, GCD of numbers 511, 945, 32, 964 is 1
Given Input Data is 511, 945, 32, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 964 is 2 x 2 x 241
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(511, 945) = 68985
GCD(511, 945) = ( 511 x 945 ) / 68985
GCD(511, 945) = 482895 / 68985
GCD(511, 945) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 32) = 224
GCD(7, 32) = ( 7 x 32 ) / 224
GCD(7, 32) = 224 / 224
GCD(7, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 511, 945, 32, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 945, 32, 964?
GCD of 511, 945, 32, 964 is 1
2. Where do I get the detailed procedure to find GCD of 511, 945, 32, 964?
You can find a detailed procedure to find GCD of 511, 945, 32, 964 on our page.
3. How to find GCD of 511, 945, 32, 964 on a calculator?
You can find the GCD of 511, 945, 32, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.