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 471, 688, 964, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 688, 964, 965 is 1
GCD(471, 688, 964, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 688, 964, 965 is 1
GCD(471, 688, 964, 965) = 1
Given Input numbers are 471, 688, 964, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 471, 688, 964, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 688, 964, 965 is 1.
Therefore, GCD of numbers 471, 688, 964, 965 is 1
Given Input Data is 471, 688, 964, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 965 is 5 x 193
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(471, 688) = 324048
GCD(471, 688) = ( 471 x 688 ) / 324048
GCD(471, 688) = 324048 / 324048
GCD(471, 688) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 471, 688, 964, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 688, 964, 965?
GCD of 471, 688, 964, 965 is 1
2. Where do I get the detailed procedure to find GCD of 471, 688, 964, 965?
You can find a detailed procedure to find GCD of 471, 688, 964, 965 on our page.
3. How to find GCD of 471, 688, 964, 965 on a calculator?
You can find the GCD of 471, 688, 964, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.