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 850, 165, 77, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 165, 77, 769 is 1
GCD(850, 165, 77, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 165, 77, 769 is 1
GCD(850, 165, 77, 769) = 1
Given Input numbers are 850, 165, 77, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 850, 165, 77, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 165, 77, 769 is 1.
Therefore, GCD of numbers 850, 165, 77, 769 is 1
Given Input Data is 850, 165, 77, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 77 is 7 x 11
Prime Factorization of 769 is 769
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(850, 165) = 28050
GCD(850, 165) = ( 850 x 165 ) / 28050
GCD(850, 165) = 140250 / 28050
GCD(850, 165) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 77) = 385
GCD(5, 77) = ( 5 x 77 ) / 385
GCD(5, 77) = 385 / 385
GCD(5, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 850, 165, 77, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 165, 77, 769?
GCD of 850, 165, 77, 769 is 1
2. Where do I get the detailed procedure to find GCD of 850, 165, 77, 769?
You can find a detailed procedure to find GCD of 850, 165, 77, 769 on our page.
3. How to find GCD of 850, 165, 77, 769 on a calculator?
You can find the GCD of 850, 165, 77, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.