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 769, 913, 450, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 769, 913, 450, 925 is 1
GCD(769, 913, 450, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 769, 913, 450, 925 is 1
GCD(769, 913, 450, 925) = 1
Given Input numbers are 769, 913, 450, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 769, 913, 450, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 913, 450, 925 is 1.
Therefore, GCD of numbers 769, 913, 450, 925 is 1
Given Input Data is 769, 913, 450, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 769 is 769
Prime Factorization of 913 is 11 x 83
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 925 is 5 x 5 x 37
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(769, 913) = 702097
GCD(769, 913) = ( 769 x 913 ) / 702097
GCD(769, 913) = 702097 / 702097
GCD(769, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 769, 913, 450, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 769, 913, 450, 925?
GCD of 769, 913, 450, 925 is 1
2. Where do I get the detailed procedure to find GCD of 769, 913, 450, 925?
You can find a detailed procedure to find GCD of 769, 913, 450, 925 on our page.
3. How to find GCD of 769, 913, 450, 925 on a calculator?
You can find the GCD of 769, 913, 450, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.