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 966, 769, 940, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 769, 940, 765 is 1
GCD(966, 769, 940, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 769, 940, 765 is 1
GCD(966, 769, 940, 765) = 1
Given Input numbers are 966, 769, 940, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 966, 769, 940, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 769, 940, 765 is 1.
Therefore, GCD of numbers 966, 769, 940, 765 is 1
Given Input Data is 966, 769, 940, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 769 is 769
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(966, 769) = 742854
GCD(966, 769) = ( 966 x 769 ) / 742854
GCD(966, 769) = 742854 / 742854
GCD(966, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 966, 769, 940, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 769, 940, 765?
GCD of 966, 769, 940, 765 is 1
2. Where do I get the detailed procedure to find GCD of 966, 769, 940, 765?
You can find a detailed procedure to find GCD of 966, 769, 940, 765 on our page.
3. How to find GCD of 966, 769, 940, 765 on a calculator?
You can find the GCD of 966, 769, 940, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.