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 772, 965, 88, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 965, 88, 820 is 1
GCD(772, 965, 88, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 965, 88, 820 is 1
GCD(772, 965, 88, 820) = 1
Given Input numbers are 772, 965, 88, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 772, 965, 88, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 965, 88, 820 is 1.
Therefore, GCD of numbers 772, 965, 88, 820 is 1
Given Input Data is 772, 965, 88, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 965 is 5 x 193
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(772, 965) = 3860
GCD(772, 965) = ( 772 x 965 ) / 3860
GCD(772, 965) = 744980 / 3860
GCD(772, 965) = 193
Step2:
Here we consider the GCD from the above i.e. 193 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(193, 88) = 16984
GCD(193, 88) = ( 193 x 88 ) / 16984
GCD(193, 88) = 16984 / 16984
GCD(193, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 772, 965, 88, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 965, 88, 820?
GCD of 772, 965, 88, 820 is 1
2. Where do I get the detailed procedure to find GCD of 772, 965, 88, 820?
You can find a detailed procedure to find GCD of 772, 965, 88, 820 on our page.
3. How to find GCD of 772, 965, 88, 820 on a calculator?
You can find the GCD of 772, 965, 88, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.